Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for t...
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Autor*in:	Wang, Jufang [verfasserIn] Yu, Changlong [verfasserIn] Zhang, Boya [verfasserIn] Wang, Si [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Fractional -difference equations Positive solutions Boundary value problem Guo–Krasnoselskii fixed point theorem

Anmerkung:	© The Author(s) 2021

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2021(2021), 1 vom: 20. Nov.
Übergeordnetes Werk:	volume:2021 ; year:2021 ; number:1 ; day:20 ; month:11

Links:	Volltext

DOI / URN:	10.1186/s13662-021-03652-x

Katalog-ID:	SPR045638160

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allfields	10.1186/s13662-021-03652-x doi (DE-627)SPR045638160 (SPR)s13662-021-03652-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Wang, Jufang verfasserin aut Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213 Yu, Changlong verfasserin aut Zhang, Boya verfasserin aut Wang, Si verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 20. Nov. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:20 month:11 https://dx.doi.org/10.1186/s13662-021-03652-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 20 11
spelling	10.1186/s13662-021-03652-x doi (DE-627)SPR045638160 (SPR)s13662-021-03652-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Wang, Jufang verfasserin aut Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213 Yu, Changlong verfasserin aut Zhang, Boya verfasserin aut Wang, Si verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 20. Nov. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:20 month:11 https://dx.doi.org/10.1186/s13662-021-03652-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 20 11
allfields_unstemmed	10.1186/s13662-021-03652-x doi (DE-627)SPR045638160 (SPR)s13662-021-03652-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Wang, Jufang verfasserin aut Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213 Yu, Changlong verfasserin aut Zhang, Boya verfasserin aut Wang, Si verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 20. Nov. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:20 month:11 https://dx.doi.org/10.1186/s13662-021-03652-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 20 11
allfieldsGer	10.1186/s13662-021-03652-x doi (DE-627)SPR045638160 (SPR)s13662-021-03652-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Wang, Jufang verfasserin aut Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213 Yu, Changlong verfasserin aut Zhang, Boya verfasserin aut Wang, Si verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 20. Nov. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:20 month:11 https://dx.doi.org/10.1186/s13662-021-03652-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 20 11
allfieldsSound	10.1186/s13662-021-03652-x doi (DE-627)SPR045638160 (SPR)s13662-021-03652-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Wang, Jufang verfasserin aut Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213 Yu, Changlong verfasserin aut Zhang, Boya verfasserin aut Wang, Si verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 20. Nov. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:20 month:11 https://dx.doi.org/10.1186/s13662-021-03652-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 20 11
language	English
source	Enthalten in Advances in difference equations 2021(2021), 1 vom: 20. Nov. volume:2021 year:2021 number:1 day:20 month:11
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format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fractional -difference equations Positive solutions Boundary value problem Guo–Krasnoselskii fixed point theorem
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isfreeaccess_bool	true
container_title	Advances in difference equations
authorswithroles_txt_mv	Wang, Jufang @@aut@@ Yu, Changlong @@aut@@ Zhang, Boya @@aut@@ Wang, Si @@aut@@
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author	Wang, Jufang
spellingShingle	Wang, Jufang ddc 510 bkl 31.49 misc Fractional misc -difference equations misc Positive solutions misc Boundary value problem misc Guo–Krasnoselskii fixed point theorem Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
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topic_title	510 610 ASE 31.49 bkl Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Positive solutions (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Guo–Krasnoselskii fixed point theorem (dpeaa)DE-He213
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title	Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
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title_full	Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
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title_sort	positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-laplacian
title_auth	Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
abstract	Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. © The Author(s) 2021
abstractGer	Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. © The Author(s) 2021
abstract_unstemmed	Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results. © The Author(s) 2021
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title_short	Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
url	https://dx.doi.org/10.1186/s13662-021-03652-x
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author2	Yu, Changlong Zhang, Boya Wang, Si
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Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

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