Prolongability of Ordinary Differential Equations

Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with...
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Autor*in:	Haraoka, Yoshishige [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Accessory parameter Pfaffian system middle convolution restriction index of rigidity

Anmerkung:	© the authors 2013

Übergeordnetes Werk:	Enthalten in: Journal of nonlinear mathematical physics - Abingdon, Oxon : Taylor & Francis, 1994, 20(2013), Suppl 1 vom: Jan., Seite 70-84
Übergeordnetes Werk:	volume:20 ; year:2013 ; number:Suppl 1 ; month:01 ; pages:70-84

Links:	Volltext

DOI / URN:	10.1080/14029251.2013.862435

Katalog-ID:	SPR054465877

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allfields	10.1080/14029251.2013.862435 doi (DE-627)SPR054465877 (SPR)14029251.2013.862435-e DE-627 ger DE-627 rakwb eng Haraoka, Yoshishige verfasserin aut Prolongability of Ordinary Differential Equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2013 Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213 Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 20(2013), Suppl 1 vom: Jan., Seite 70-84 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:20 year:2013 number:Suppl 1 month:01 pages:70-84 https://dx.doi.org/10.1080/14029251.2013.862435 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 AR 20 2013 Suppl 1 01 70-84
spelling	10.1080/14029251.2013.862435 doi (DE-627)SPR054465877 (SPR)14029251.2013.862435-e DE-627 ger DE-627 rakwb eng Haraoka, Yoshishige verfasserin aut Prolongability of Ordinary Differential Equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2013 Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213 Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 20(2013), Suppl 1 vom: Jan., Seite 70-84 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:20 year:2013 number:Suppl 1 month:01 pages:70-84 https://dx.doi.org/10.1080/14029251.2013.862435 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 AR 20 2013 Suppl 1 01 70-84
allfields_unstemmed	10.1080/14029251.2013.862435 doi (DE-627)SPR054465877 (SPR)14029251.2013.862435-e DE-627 ger DE-627 rakwb eng Haraoka, Yoshishige verfasserin aut Prolongability of Ordinary Differential Equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2013 Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213 Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 20(2013), Suppl 1 vom: Jan., Seite 70-84 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:20 year:2013 number:Suppl 1 month:01 pages:70-84 https://dx.doi.org/10.1080/14029251.2013.862435 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 AR 20 2013 Suppl 1 01 70-84
allfieldsGer	10.1080/14029251.2013.862435 doi (DE-627)SPR054465877 (SPR)14029251.2013.862435-e DE-627 ger DE-627 rakwb eng Haraoka, Yoshishige verfasserin aut Prolongability of Ordinary Differential Equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2013 Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213 Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 20(2013), Suppl 1 vom: Jan., Seite 70-84 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:20 year:2013 number:Suppl 1 month:01 pages:70-84 https://dx.doi.org/10.1080/14029251.2013.862435 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 AR 20 2013 Suppl 1 01 70-84
allfieldsSound	10.1080/14029251.2013.862435 doi (DE-627)SPR054465877 (SPR)14029251.2013.862435-e DE-627 ger DE-627 rakwb eng Haraoka, Yoshishige verfasserin aut Prolongability of Ordinary Differential Equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2013 Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213 Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 20(2013), Suppl 1 vom: Jan., Seite 70-84 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:20 year:2013 number:Suppl 1 month:01 pages:70-84 https://dx.doi.org/10.1080/14029251.2013.862435 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 AR 20 2013 Suppl 1 01 70-84
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author	Haraoka, Yoshishige
spellingShingle	Haraoka, Yoshishige misc Accessory parameter misc Pfaffian system misc middle convolution misc restriction misc index of rigidity Prolongability of Ordinary Differential Equations
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topic_title	Prolongability of Ordinary Differential Equations Accessory parameter (dpeaa)DE-He213 Pfaffian system (dpeaa)DE-He213 middle convolution (dpeaa)DE-He213 restriction (dpeaa)DE-He213 index of rigidity (dpeaa)DE-He213
topic	misc Accessory parameter misc Pfaffian system misc middle convolution misc restriction misc index of rigidity
topic_unstemmed	misc Accessory parameter misc Pfaffian system misc middle convolution misc restriction misc index of rigidity
topic_browse	misc Accessory parameter misc Pfaffian system misc middle convolution misc restriction misc index of rigidity
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title	Prolongability of Ordinary Differential Equations
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title_full	Prolongability of Ordinary Differential Equations
author_sort	Haraoka, Yoshishige
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doi_str_mv	10.1080/14029251.2013.862435
title_sort	prolongability of ordinary differential equations
title_auth	Prolongability of Ordinary Differential Equations
abstract	Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. © the authors 2013
abstractGer	Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. © the authors 2013
abstract_unstemmed	Abstract We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied. © the authors 2013
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title_short	Prolongability of Ordinary Differential Equations
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up_date	2024-07-04T01:45:08.157Z
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