Existence of Three Solutions for Impulsive Multi-Point Boundary Value Problems

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Shapour Heidarkhani
Amjad Salari
Giuseppe Caristi

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.

Recommended Citation

M. Bohner et al., "Existence of Three Solutions for Impulsive Multi-Point Boundary Value Problems," Opuscula Mathematica, vol. 37, no. 3, pp. 353 - 379, AGH University of Science and Technology, Jan 2017.

The definitive version is available at https://doi.org/10.7494/OpMath.2017.37.3.353

Department(s)

Mathematics and Statistics

Keywords and Phrases

Classical solution; Impulsive condition; Multi-point boundary value problem; Three critical points theorem; Variational method

International Standard Serial Number (ISSN)

1232-9274; 2300-6919

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 AGH University of Science and Technology, All rights reserved.

Publication Date

01 Jan 2017