Positive solutions of nonlinear third-order m-point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:225

Article

Sang, Yanbin¹  Su, Hua² 

[1] Shandong Univ, Dept Syst Sci & Math, Jinan 250100, Shandong, Peoples R China

[2] Shandong Univ Finance, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

关键词: Positive solutions;    Boundary value problem;    Fixed-point theorems;   

DOI  :  10.1016/j.cam.2008.07.039

来源: Elsevier

【 摘 要 】

In this paper, several existence theorems of positive solutions are established for a nonlinear m-point boundary value problem for the following third-order differential equations (phi(u ''))' + a(t)f(t, u(t)) = 0, t is an element of (0 ,1), phi(u ''(0)) = (m-2)Sigma(i=1) a(i)phi(u ''(xi(i))), u'(0) = 0. u(1) = (m-2)Sigma(i=1) b(i)u(xi(i)), where phi : R -> R is an increasing homeomorphism and homomorphism and phi(0) = 0. The nonlinear term f may change sign. As an application, an example to demonstrate our results is given. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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