Multiplicity results for superlinear boundary value problems with impulsive effects

We study the existence and multiplicity of solutions for a nonlinear boundary value problem subject to perturbations of impulsive terms. Under suitable assumptions on the potential of the nonlinearity, the existence of one or two solutions is established. Our approach is based on a local minimum the...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 39; no. 5; pp. 1060 - 1068
Main Authors D'Aguì, Giuseppina, Di Bella, Beatrice, Tersian, Stepan
Format Journal Article
LanguageEnglish
Published Freiburg Blackwell Publishing Ltd 01.04.2016
Wiley Subscription Services, Inc
Subjects
Boundary value problems
Critical point
critical point theory
Dirichlet boundary conditions
impulsive differential equations
Mathematical analysis
Nonlinearity
Perturbation methods
Theorems
Online AccessGet full text
ISSN0170-4214
1099-1476
DOI10.1002/mma.3545

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Summary:We study the existence and multiplicity of solutions for a nonlinear boundary value problem subject to perturbations of impulsive terms. Under suitable assumptions on the potential of the nonlinearity, the existence of one or two solutions is established. Our approach is based on a local minimum theorem and a two non‐zero critical points for differentiable functionals. Copyright © 2015 John Wiley & Sons, Ltd.
Bibliography:istex:E83D38B68590FF96F41A7DB8CEFA5F95F2E46E74
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ArticleID:MMA3545
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3545