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

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 presen...

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Bibliographic Details
Main Authors: Martin Bohner, Shapour Heidarkhani, Amjad Salari, Giuseppe Caristi
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2017-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol37/3/art/opuscula_math_3715.pdf
Description
Summary: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.
ISSN:1232-9274