Heteroclinic solutions for damped p-Laplacian difference equations-Reference-Cited by-同舟云学术

Heteroclinic solutions for damped p-Laplacian difference equations

Published:2022-12-24 Issue:2 Volume:49 Page:348-357
ISSN:1223-6934
Container-title:Annals of the University of Craiova - Mathematics and Computer Science Series
language:
Short-container-title:AUCMCS

Author:

Daouas Adel^ORCID, ,Guefrej Ameni^ORCID,

Abstract

"In this paper, we investigate the existence of heteroclinic solutions for a class of p-Laplacian difference equations with a parameter. The proof of the main theorem is variational and based on the use of the Mountain Pass Theorem. Our results successfully improve recent ones in the literature and partially answer an open problem proposed by Cabada and Tersian in [23]."

Publisher

University of Craiova

Subject

Computer Science Applications,General Mathematics

Reference28 articles.

1. "[1] R.P. Agarwal, Difference Equations and Inequalities, Theory, Methods and Applications (Second Edition), Marcel Dekker, New York, 2000. DOI: 10.1201/9781420027020

2. [2] R.P. Agarwal, K.Perera, and D.O'Regan, Multiple positive solutions of singular and nonsingular discrete problems via variational methods, Nonlinear Analysis: Theory, Methods and Applications 58 (2004), no. 1-2, 69-73. DOI:10.1016/j.na.2003.11.012

3. [3] R.P. Agarwal and P.J.Y.Wong, Advanced Topics in Difference Equations, Kluwer, Dordrecht, 1997.

4. [4] M. Aprahmian, D.Souroujon and S.Tersian, Decreasing and fast solutions for a second-order difference equation related to Fisher-Kolmogorov's equation, Journal of Mathematical Analysis and Applications 363 (2010), no. 1, 97-110. DOI: DOI:10.1016/J.JMAA.2009.08.009

5. [5] M. Arias, J. Campus, A.M. Robles-Peres, and L. Sanchez, Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation, Calculus of Variations and Partial Differential Equations volume 21 (2004), no. 3, 319-334. DOI: 10.1007/s00526-004-0264-y