## Journal of Applied Mathematics

### Boundary Value Problems for Fourth Order Nonlinear $p$-Laplacian Difference Equations

Qinqin Zhang

#### Abstract

We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 343129, 6 pages.

Dates
First available in Project Euclid: 26 March 2014

https://projecteuclid.org/euclid.jam/1395855296

Digital Object Identifier
doi:10.1155/2014/343129

Mathematical Reviews number (MathSciNet)
MR3166760

Zentralblatt MATH identifier
07010607

#### Citation

Zhang, Qinqin. Boundary Value Problems for Fourth Order Nonlinear $p$ -Laplacian Difference Equations. J. Appl. Math. 2014 (2014), Article ID 343129, 6 pages. doi:10.1155/2014/343129. https://projecteuclid.org/euclid.jam/1395855296

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