ON PERIODIC BOUNDARY VALUE PROBLEMS OF HIGHER ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS WITH p-LAPLACIAN

- Journal title : Communications of the Korean Mathematical Society
- Volume 24, Issue 1, 2009, pp.29-40
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2009.24.1.029

Title & Authors

ON PERIODIC BOUNDARY VALUE PROBLEMS OF HIGHER ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS WITH p-LAPLACIAN

Liu, Yuji; Liu, Xingyuan;

Liu, Yuji; Liu, Xingyuan;

Abstract

Motivated by [Linear Algebra and its Appl. 420(2007), 218-227] and [Linear Algebra and its Appl. 425(2007), 171-183], we, in this paper, study the solvability of periodic boundary value problems of higher order nonlinear functional difference equations with p-Laplacian. Sufficient conditions for the existence of at least one solution of this problem are established.

Keywords

solutions;higher order difference equation with p-Laplacian;periodic boundary value problem;fixed-point theorem;growth condition;

Language

English

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