Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:222

Article

Feng, Meiqiang^1,2  Ji, Dehong²  Ge, Weigao² 

[1] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China

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

关键词: Boundary-value problem;    Positive solution;    Fixed point theorem;    Existence;    Measure of noncompactness;   

DOI  :  10.1016/j.cam.2007.11.003

来源: Elsevier

【 摘 要 】

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators. The nonexistence of a positive solution is also studied. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free