The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line

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摘要

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p>1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line (φ(u′))′+a(t)f(u(t))=0,0

论文关键词:34B10,34B18,Singularity,Multiple positive solutions,Boundary value problems,Fixed-point theorem,Half-line,Cone

论文评审过程:Received 30 March 2007, Revised 3 August 2007, Available online 17 November 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.10.062