Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Han, Wei¹  Jin, Zhen¹  Kang, Shugui² 

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Shanxi Datong Univ, Coll Math & Comp Sci, Datong 037009, Shanxi, Peoples R China

关键词: Time scale;    Positive solutions;    Boundary value problem;    Fixed point theorems;    Increasing homeomorphism and positive homomorphism;   

DOI  :  10.1016/j.cam.2009.07.009

来源: Elsevier

【 摘 要 】

In this paper, we will consider the following multipoint boundary value problem for the following second-order dynamic equations on time scales (phi(u(Delta)))(del) + a(t)f(t.u(t)) = 0, t is an element of (0, T). [GRAPHICS] where phi : R -> R is an increasing homeomorphism and positive homomorphism and phi(0) = 0. By using fixed point theorems, we obtain an existence theorem of positive solutions for the above boundary value problem, which includes and improve some related results in the relevant literature. As an application, an example to demonstrate our results is given. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free