Existence of two solutions for a fourth-order difference problem with p(k) exponent

Author:

Khaleghi Moghadam Mohsen,Khalili Yasser,Wieteska Renata

Abstract

AbstractThe existence of nontrivial solutions for a fourth-order discrete anisotropic boundary value problem involving the p(k)-Laplacian operator with the Dirichlet and the Neumann boundary value conditions is investigated. Variational approach based on a new critical point theorem is applied. An example is inserted to illustrate main results.

Funder

Lodz University of Technology

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Agarwal, R.P.: Difference Equations and Inequalities: Theory. Methods and Applications. Marcel Dekker, New York (2000)

2. Avci, M.: Existence results for anisotropic discrete boundary value problems. Electron. J. Differ. Equ. 2016(148), 1–11 (2016)

3. Avery, R., Henderson, J.: Existence of three positive pseudo-symmetric solutions for a one dimensional discrete p-Laplacian. J. Differ. Equ. Appl. 10, 529–539 (2004)

4. Bonanno, G., Candito, P., D’Aguì, G.: Positive solutions for a nonlinear parameter-depending algebraic system. Electron. J. Differ. Equ. 2015(17), 1–14 (2015)

5. Bonanno, G., Jebelean, P., Serban, C.: Three solutions for discrete anisotropic periodic and neumann problems. Dyn. Syst. Appl. 22, 183–196 (2013)

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