existence of three solutions for impulsive multi-point boundary value problems

;Martin Bohner;Shapour Heidarkhani;Amjad Salari;Giuseppe Caristi
zhonghua yi xue za zhi 2017 Vol. 37 pp. 353-379
128
bohner2017opusculaexistence

Abstract

This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.

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http://dx.doi.org/10.7494/OpMath.2017.37.3.353
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