Name
Abstract | ||
|---|---|---|
This paper deals with the existence of multiple positive solutions for the one-dimensional p-Laplacian(@f"p(x^'(t)))^'+q(t)f(t,x(t),x^'(t))=0,t@?(0,1)subject to the following boundary value conditions:x(0)=@?i=1n@a"ix(@x"i),x(1)=@?i=1n@b"ix(@x"i),where @f"p(s)=|s|^p^-^2.s, p1. By means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of at least three positive solutions to the above boundary value problem. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2006.09.041 | Applied Mathematics and Computation |
Keywords | Field | DocType |
sufficient condition,multiple positive solution,paper deal,positive solution,following boundary value condition,boundary value problem,p-laplacian boundary value problem,one-dimensional p-laplacian,fixed point theorem,cone,boundary value problems | Boundary value problem,Mathematical analysis,Numerical analysis,Partial differential equation,Fixed-point theorem,Mathematics,Boundary values,p-Laplacian | Journal |
Volume | Issue | ISSN |
187 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.43 | 2 |
Authors | ||
2 | ||