Existence of three solutions for higher order BVP with parameters via Morse theory

Existence of three solutions for higher order BVP with parameters via Morse theory

We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.

Bibliographic Details
Main Authors: Mariusz Jurkiewicz, Bogdan Przeradzki
Format: Article
Language:English
Published: Texas State University 2016-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Multidimensional spectrum
Lidstone BVP
critical point theory
Palais-Smale condition
critical group
Morse's theory
Online Access:http://ejde.math.txstate.edu/Volumes/2016/280/abstr.html
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spelling doaj-518fb10b5f9b41bf9449636c6f254ab92020-11-24T23:15:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-10-012016280,16Existence of three solutions for higher order BVP with parameters via Morse theoryMariusz Jurkiewicz0Bogdan Przeradzki1 Military Univ. of Technology, Warszawa, Poland Lodz Univ. of Technology, Lodz, Poland We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.http://ejde.math.txstate.edu/Volumes/2016/280/abstr.htmlMultidimensional spectrumLidstone BVPcritical point theoryPalais-Smale conditioncritical groupMorse's theory
collection DOAJ
language English
format Article
sources DOAJ
author Mariusz Jurkiewicz
Bogdan Przeradzki
spellingShingle Mariusz Jurkiewicz
Bogdan Przeradzki
Existence of three solutions for higher order BVP with parameters via Morse theory
Electronic Journal of Differential Equations
Multidimensional spectrum
Lidstone BVP
critical point theory
Palais-Smale condition
critical group
Morse's theory
author_facet Mariusz Jurkiewicz
Bogdan Przeradzki
author_sort Mariusz Jurkiewicz
title Existence of three solutions for higher order BVP with parameters via Morse theory
title_short Existence of three solutions for higher order BVP with parameters via Morse theory
title_full Existence of three solutions for higher order BVP with parameters via Morse theory
title_fullStr Existence of three solutions for higher order BVP with parameters via Morse theory
title_full_unstemmed Existence of three solutions for higher order BVP with parameters via Morse theory
title_sort existence of three solutions for higher order bvp with parameters via morse theory
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2016-10-01
description We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.
topic Multidimensional spectrum
Lidstone BVP
critical point theory
Palais-Smale condition
critical group
Morse's theory
url http://ejde.math.txstate.edu/Volumes/2016/280/abstr.html
work_keys_str_mv AT mariuszjurkiewicz existenceofthreesolutionsforhigherorderbvpwithparametersviamorsetheory
AT bogdanprzeradzki existenceofthreesolutionsforhigherorderbvpwithparametersviamorsetheory
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