The existence of multiple positive solutions for multi-point boundary value problems on the half-line

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:228

Article

Liang, Sihua^2,3  Zhang, Jihui²  Wang, Zhiyong¹ 

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China

[3] Changchun Normal Univ, Coll Math, Changchun 130032, Jilin, Peoples R China

关键词: Boundary value problems;    Positive solutions;    Fixed-point theorem;    Half-line;    Cone;   

DOI  :  10.1016/j.cam.2008.08.028

来源: Elsevier

【 摘 要 】

In this paper, we consider the existence of multiple positive solutions for some nonlinear m-point boundary value problems on the half-line (phi(u'))' + a(t)f(t, u(t)) = 0, 0 < t < +infinity u(0) = Sigma(m-2)(i=1) alpha(i)u(xi(i)). u'(infinity) = 0, where phi : R -> R is an increasing homeomorphism and positive homomorphism and phi(0) = 0. Using a fixed-point theorem for operator on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem.

【 授权许可】

Free