On nonlinear boundary value problems for higher order functional difference equations with p-Laplacian

被引：0

作者：

Liu, Yuji ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou, Guangdong, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2012年 / 38卷 / 1-2期

关键词：

Higher order functional difference equation with p-Laplacian; Nonlinear boundary value problem; The continuation theorem; Growth condition;

D O I：

10.1007/s12190-011-0473-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher order functional difference equations with p-Laplacian are established by using the continuation theorem. The result is proved without using the monotonicity of B-i (i = 0, 1). We allow f to be at most linear, superlinear or sublinear in obtained results.

引用

页码：195 / 208

页数：14

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