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