Existence of solutions for second-order nonlinear impulsive boundary-value problems

We prove the existence of solutions for a second-order nonlinear impulsive boundary-value problem by applying Schaefer's fixed point theorem. Results for periodic and anti-periodic impulsive boundary-value problems can be obtained as special cases of the results in this article.

Bibliographic Details
Main Author: Bashir Ahmad
Format: Article
Language:English
Published: Texas State University 2009-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/68/abstr.html
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author Bashir Ahmad
author_facet Bashir Ahmad
author_sort Bashir Ahmad
collection DOAJ
description We prove the existence of solutions for a second-order nonlinear impulsive boundary-value problem by applying Schaefer's fixed point theorem. Results for periodic and anti-periodic impulsive boundary-value problems can be obtained as special cases of the results in this article.
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spelling doaj.art-a703427e5c3f4d248178648e82c4a6e22022-12-21T18:00:34ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-05-01200968,17Existence of solutions for second-order nonlinear impulsive boundary-value problemsBashir AhmadWe prove the existence of solutions for a second-order nonlinear impulsive boundary-value problem by applying Schaefer's fixed point theorem. Results for periodic and anti-periodic impulsive boundary-value problems can be obtained as special cases of the results in this article.http://ejde.math.txstate.edu/Volumes/2009/68/abstr.htmlImpulsive differential equationsSchaefer's theoremperiodic and anti-periodic boundary conditionsexistence of solutions
spellingShingle Bashir Ahmad
Existence of solutions for second-order nonlinear impulsive boundary-value problems
Electronic Journal of Differential Equations
Impulsive differential equations
Schaefer's theorem
periodic and anti-periodic boundary conditions
existence of solutions
title Existence of solutions for second-order nonlinear impulsive boundary-value problems
title_full Existence of solutions for second-order nonlinear impulsive boundary-value problems
title_fullStr Existence of solutions for second-order nonlinear impulsive boundary-value problems
title_full_unstemmed Existence of solutions for second-order nonlinear impulsive boundary-value problems
title_short Existence of solutions for second-order nonlinear impulsive boundary-value problems
title_sort existence of solutions for second order nonlinear impulsive boundary value problems
topic Impulsive differential equations
Schaefer's theorem
periodic and anti-periodic boundary conditions
existence of solutions
url http://ejde.math.txstate.edu/Volumes/2009/68/abstr.html
work_keys_str_mv AT bashirahmad existenceofsolutionsforsecondordernonlinearimpulsiveboundaryvalueproblems