Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales

被引：6

作者：

Song, Changxiu ^{[1
]}

Gao, Xuejun ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

BOUNDARY-VALUE-PROBLEMS; FINITE-DIFFERENCE EQUATIONS; EXISTENCE;

D O I：

10.1155/2011/279752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study the boundary value problems for a p-Laplacian functional dynamic equation on a time scale, [phi(p)(x(Delta del)(t))](del) + a(t)f(x(t), x(mu(t))) = 0, t is an element of (0,T), x(0)(t) = psi(t), t is an element of [-r, 0], x(Delta)(0) = x(Delta del)(0) = 0, x(T) + B(0)(x(Delta)(eta)) = 0. By using the twin fixed-point theorem, sufficient conditions are established for the existence of twin positive solutions.

引用

页数：11

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