Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales

被引：3

作者：

Liu, Jian ^{[1
]}

Xu, Fuyi ^{[2
]}

机构：

[1] Shandong Econ Univ, Sch Stat & Math Sci, Jinan 250014, Shandong, Peoples R China

[2] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2009年 / 2009卷

基金：

中国国家自然科学基金;

关键词：

DIMENSIONAL P-LAPLACIAN; DYNAMIC EQUATIONS; EXISTENCE; OPERATOR; ITERATION;

D O I：

10.1155/2009/123283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the following third-order m-point boundary value problems on time scales (phi(u(Delta del)))(del) + a(t)f(u(t)) = 0, t is an element of [0, T](T), u(0) = Sigma(m-2)(i=1) b(i)u(xi(i)), u(Delta) (T) = 0, phi (u(Delta del)(0)) = Sigma(m-2)(i=1) c(i)phi (u(Delta del)(xi(i))), where phi : R -> R is an increasing homeomorphism and homomorphism and phi(0) = 0, 0 < xi(1) < . . . < xi(m-2) < rho(T). We obtain the existence of three positive solutions by using fixed-point theorem in cones. The conclusions in this paper essentially extend and improve the known results. Copyright (C) 2009 J. Liu and F. Xu.

引用

页数：15

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