Scattering problems of impulsive Schrödinger equations with matrix coefficients

Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Cebesoy, Serifenur [verfasserIn] Bairamov, Elgiz Aygar, Yelda

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Impulsive conditions Schrödinger equations Jost solution Scattering matrix Eigenvalues Spectral singularities

Anmerkung:	© Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Ricerche di matematica - Milano : Springer, 2006, 72(2022), 1 vom: 19. Sept., Seite 399-415
Übergeordnetes Werk:	volume:72 ; year:2022 ; number:1 ; day:19 ; month:09 ; pages:399-415

Links:	Volltext

DOI / URN:	10.1007/s11587-022-00736-y

Katalog-ID:	SPR050278428

Internformat


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520			\|a Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix.
650		4	\|a Impulsive conditions \|7 (dpeaa)DE-He213
650		4	\|a Schrödinger equations \|7 (dpeaa)DE-He213
650		4	\|a Jost solution \|7 (dpeaa)DE-He213
650		4	\|a Scattering matrix \|7 (dpeaa)DE-He213
650		4	\|a Eigenvalues \|7 (dpeaa)DE-He213
650		4	\|a Spectral singularities \|7 (dpeaa)DE-He213
700	1		\|a Bairamov, Elgiz \|4 aut
700	1		\|a Aygar, Yelda \|0 (orcid)0000-0002-5550-3073 \|4 aut
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773	1	8	\|g volume:72 \|g year:2022 \|g number:1 \|g day:19 \|g month:09 \|g pages:399-415
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912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
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912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
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912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
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912			\|a GBV_ILN_293
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912			\|a GBV_ILN_2014
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912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
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912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
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912			\|a GBV_ILN_2147
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912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
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allfields	10.1007/s11587-022-00736-y doi (DE-627)SPR050278428 (SPR)s11587-022-00736-y-e DE-627 ger DE-627 rakwb eng Cebesoy, Serifenur verfasserin aut Scattering problems of impulsive Schrödinger equations with matrix coefficients 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213 Bairamov, Elgiz aut Aygar, Yelda (orcid)0000-0002-5550-3073 aut Enthalten in Ricerche di matematica Milano : Springer, 2006 72(2022), 1 vom: 19. Sept., Seite 399-415 (DE-627)521480108 (DE-600)2262751-0 1827-3491 nnns volume:72 year:2022 number:1 day:19 month:09 pages:399-415 https://dx.doi.org/10.1007/s11587-022-00736-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2022 1 19 09 399-415
spelling	10.1007/s11587-022-00736-y doi (DE-627)SPR050278428 (SPR)s11587-022-00736-y-e DE-627 ger DE-627 rakwb eng Cebesoy, Serifenur verfasserin aut Scattering problems of impulsive Schrödinger equations with matrix coefficients 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213 Bairamov, Elgiz aut Aygar, Yelda (orcid)0000-0002-5550-3073 aut Enthalten in Ricerche di matematica Milano : Springer, 2006 72(2022), 1 vom: 19. Sept., Seite 399-415 (DE-627)521480108 (DE-600)2262751-0 1827-3491 nnns volume:72 year:2022 number:1 day:19 month:09 pages:399-415 https://dx.doi.org/10.1007/s11587-022-00736-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2022 1 19 09 399-415
allfields_unstemmed	10.1007/s11587-022-00736-y doi (DE-627)SPR050278428 (SPR)s11587-022-00736-y-e DE-627 ger DE-627 rakwb eng Cebesoy, Serifenur verfasserin aut Scattering problems of impulsive Schrödinger equations with matrix coefficients 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213 Bairamov, Elgiz aut Aygar, Yelda (orcid)0000-0002-5550-3073 aut Enthalten in Ricerche di matematica Milano : Springer, 2006 72(2022), 1 vom: 19. Sept., Seite 399-415 (DE-627)521480108 (DE-600)2262751-0 1827-3491 nnns volume:72 year:2022 number:1 day:19 month:09 pages:399-415 https://dx.doi.org/10.1007/s11587-022-00736-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2022 1 19 09 399-415
allfieldsGer	10.1007/s11587-022-00736-y doi (DE-627)SPR050278428 (SPR)s11587-022-00736-y-e DE-627 ger DE-627 rakwb eng Cebesoy, Serifenur verfasserin aut Scattering problems of impulsive Schrödinger equations with matrix coefficients 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213 Bairamov, Elgiz aut Aygar, Yelda (orcid)0000-0002-5550-3073 aut Enthalten in Ricerche di matematica Milano : Springer, 2006 72(2022), 1 vom: 19. Sept., Seite 399-415 (DE-627)521480108 (DE-600)2262751-0 1827-3491 nnns volume:72 year:2022 number:1 day:19 month:09 pages:399-415 https://dx.doi.org/10.1007/s11587-022-00736-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2022 1 19 09 399-415
allfieldsSound	10.1007/s11587-022-00736-y doi (DE-627)SPR050278428 (SPR)s11587-022-00736-y-e DE-627 ger DE-627 rakwb eng Cebesoy, Serifenur verfasserin aut Scattering problems of impulsive Schrödinger equations with matrix coefficients 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213 Bairamov, Elgiz aut Aygar, Yelda (orcid)0000-0002-5550-3073 aut Enthalten in Ricerche di matematica Milano : Springer, 2006 72(2022), 1 vom: 19. Sept., Seite 399-415 (DE-627)521480108 (DE-600)2262751-0 1827-3491 nnns volume:72 year:2022 number:1 day:19 month:09 pages:399-415 https://dx.doi.org/10.1007/s11587-022-00736-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2022 1 19 09 399-415
language	English
source	Enthalten in Ricerche di matematica 72(2022), 1 vom: 19. Sept., Seite 399-415 volume:72 year:2022 number:1 day:19 month:09 pages:399-415
sourceStr	Enthalten in Ricerche di matematica 72(2022), 1 vom: 19. Sept., Seite 399-415 volume:72 year:2022 number:1 day:19 month:09 pages:399-415
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Impulsive conditions Schrödinger equations Jost solution Scattering matrix Eigenvalues Spectral singularities
isfreeaccess_bool	false
container_title	Ricerche di matematica
authorswithroles_txt_mv	Cebesoy, Serifenur @@aut@@ Bairamov, Elgiz @@aut@@ Aygar, Yelda @@aut@@
publishDateDaySort_date	2022-09-19T00:00:00Z
hierarchy_top_id	521480108
id	SPR050278428
language_de	englisch
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author	Cebesoy, Serifenur
spellingShingle	Cebesoy, Serifenur misc Impulsive conditions misc Schrödinger equations misc Jost solution misc Scattering matrix misc Eigenvalues misc Spectral singularities Scattering problems of impulsive Schrödinger equations with matrix coefficients
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topic_title	Scattering problems of impulsive Schrödinger equations with matrix coefficients Impulsive conditions (dpeaa)DE-He213 Schrödinger equations (dpeaa)DE-He213 Jost solution (dpeaa)DE-He213 Scattering matrix (dpeaa)DE-He213 Eigenvalues (dpeaa)DE-He213 Spectral singularities (dpeaa)DE-He213
topic	misc Impulsive conditions misc Schrödinger equations misc Jost solution misc Scattering matrix misc Eigenvalues misc Spectral singularities
topic_unstemmed	misc Impulsive conditions misc Schrödinger equations misc Jost solution misc Scattering matrix misc Eigenvalues misc Spectral singularities
topic_browse	misc Impulsive conditions misc Schrödinger equations misc Jost solution misc Scattering matrix misc Eigenvalues misc Spectral singularities
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title	Scattering problems of impulsive Schrödinger equations with matrix coefficients
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title_full	Scattering problems of impulsive Schrödinger equations with matrix coefficients
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title_sort	scattering problems of impulsive schrödinger equations with matrix coefficients
title_auth	Scattering problems of impulsive Schrödinger equations with matrix coefficients
abstract	Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. © Università degli Studi di Napoli "Federico II" 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	Scattering problems of impulsive Schrödinger equations with matrix coefficients
url	https://dx.doi.org/10.1007/s11587-022-00736-y
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author2	Bairamov, Elgiz Aygar, Yelda
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doi_str	10.1007/s11587-022-00736-y
up_date	2024-07-03T14:31:29.322Z
_version_	1803568639458148352
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Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Impulsive conditions</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schrödinger equations</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Jost solution</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scattering matrix</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Eigenvalues</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral singularities</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bairamov, Elgiz</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Aygar, Yelda</subfield><subfield code="0">(orcid)0000-0002-5550-3073</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Ricerche di matematica</subfield><subfield code="d">Milano : Springer, 2006</subfield><subfield code="g">72(2022), 1 vom: 19. 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Scattering problems of impulsive Schrödinger equations with matrix coefficients

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