An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle
Abstract
In this article, multi-point boundary value systems with impulsive effects are considered. Existence of at least one classical solution is investigated. The basis of the approach is an application of certain variational methods for smooth functionals, which are defined on reflexive Banach spaces. Examples are provided in order to illustrate how the presented results can be applied.
Recommended Citation
G. A. Afrouzi et al., "An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle," Journal of Optimization Theory and Applications, vol. 177, no. 1, pp. 1 - 20, Springer Verlag, Apr 2018.
The definitive version is available at https://doi.org/10.1007/s10957-018-1253-1
Department(s)
Mathematics and Statistics
Keywords and Phrases
Classical solution; Critical point theory; Existence result; Impulsive effects; Minimization principle; Multi-point boundary value problems; Variational methods
International Standard Serial Number (ISSN)
0022-3239; 1573-2878
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 Springer Verlag, All rights reserved.
Publication Date
01 Apr 2018
