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http://dx.doi.org/10.4134/CKMS.2009.24.1.029

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

Liu, Yuji (DEPARTMENT OF MATHEMATICS GUANGDONG UNIVERSITY OF BUSINESS STUDIES)
Liu, Xingyuan (DEPARTMENT OF MATHEMATICS SHAOYANG UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.1, 2009 , pp. 29-40 More about this Journal
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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