Variational approach of <i>p</i>-Laplacian impulsive differential equations with periodic conditions-Reference-Cited by-同舟云学术

Variational approach of p-Laplacian impulsive differential equations with periodic conditions

Published:2023-05-03 Issue:4 Volume:30 Page:569-587
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Oumansour Abderrahmane¹,Mahdjouba Amina¹,Henderson Johnny²^ORCID,Ouahab Abdelghani¹^ORCID

Affiliation:

1. Laboratory of Mathematics , University of Djillali Liabes , P.O. Box 89, 2200 Sidi-Bel-Abbès , Algeria

2. Department of Mathematics , Baylor University , Waco , Texas 76798-7328 , USA

Abstract

Abstract In this paper, we study a boundary value problem for a second-order impulsive p-Laplacian dynamic equation on a time scale. The approach is based on a critical point theorem. Finally, some examples are given to illustrate the results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2023/pdf

Reference39 articles.

1. R. P. Agarwal, V. Otero-Espinar, K. Perera and D. R. Vivero, Basic properties of Sobolev’s spaces on time scales, Adv. Difference Equ. 2006 (2006), Article ID 38121.

2. S. Aizicovici, N. S. Papageorgiou and V. Staicu, Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian, J. Differential Equations 243 (2007), no. 2, 504–535.

3. D. D. Baĭnov and P. S. Simeonov, Systems with Impulse Effect. Stability, Theory and Applications, Ellis Horwood Ser. Math. Appl., Ellis Horwood, Chichester, 1989.

4. M. Benchohra, J. J. Nieto and A. Ouahab, Impulsive differential inclusions via variational method, Georgian Math. J. 24 (2017), no. 3, 313–323.

5. M. Bohner and A. Peterson, Dynamic Equations on Time Scales. An Introduction with Applications, Birkhäuser, Boston, 2001.