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

Liu, Yuji;Liu, Xingyuan

• Published : 2009.01.31
• 45 8

#### 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

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