Triple positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:231

Article

Wei, Yuming^1,2 

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China

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

DOI  :  10.1016/j.cam.2009.02.001

来源: Elsevier

【 摘 要 】

In this paper, we investigate the existence of triple positive solutions for nonlinear differential equations boundary value problems with increasing homeomorphism and positive homomorphism operator. By using fixed point theorems in cones, we establish results on the existence of three positive solutions with suitable growth conditions imposed on the nonlinear term. As applications, two examples are given to demonstrate our result. The conclusions in this paper essentially extend and improve the known results. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free