Article
Existence of Three Solutions for Impulsive Multi-Point Boundary Value Problems
Opuscula Mathematica
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.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Classical solution,
- Impulsive condition,
- Multi-point boundary value problem,
- Three critical points theorem,
- Variational method
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
1-1-2017
Publication Date
01 Jan 2017
Disciplines
Citation Information
Martin Bohner, Shapour Heidarkhani, Amjad Salari and Giuseppe Caristi. "Existence of Three Solutions for Impulsive Multi-Point Boundary Value Problems" Opuscula Mathematica Vol. 37 Iss. 3 (2017) p. 353 - 379 ISSN: 1232-9274; 2300-6919 Available at: http://works.bepress.com/martin-bohner/151/