Vol. 19(2018) No. 1

 

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  Existence of solutions to an impulsive Dirichlet boundary value problem
 
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Fixed Point Theory, Volume 19, No. 1, 2018, 225-234, February 1st, 2018

DOI: 10.24193/fpt-ro.2018.1.18

Authors: John R. Graef, Shapour Heidarkhani and Lingju Kong

Abstract: In this paper, the authors establish the existence of nontrivial classical solutions for a class of Dirichlet boundary value problems with impulsive effects. The approach is based on variational methods and critical point theory.

Key Words and Phrases: Nontrivial solution, Dirichlet boundary value problem, impulsive effects, critical point theory, variational methods.

2010 Mathematics Subject Classification: 34B37, 34B15, 47J10.

Published on-line: February 1st, 2018.

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