Title
The existence of symmetric positive solutions for some nonlinear equation systems
Abstract
In this paper, the existence of symmetric positive solutions of the following boundary value problem:(ϕp1(u′))′+a1(t)f(u,v)=0,0<t<1,(ϕp2(v′))′+a2(t)g(u,v)=0,0<t<1,u(0)-αu′(ξ)=0,u(1)+αu′(η)=0,v(0)-αv′(ξ)=0,v(1)+αv′(η)=0,is studied, where ϕpi(s)=|s|pi-2s,pi>1. We show the sufficient conditions for the existence of symmetric positive solutions by using a fixed point index theorem in cones.
Year
DOI
Venue
2008
10.1016/j.amc.2007.07.031
Applied Mathematics and Computation
Keywords
Field
DocType
Boundary value problems,Equation systems,Symmetric positive solutions,Cone
Boundary value problem,Nonlinear system,Fixed-point index,Mathematical analysis,Numerical analysis,Partial differential equation,Fixed-point theorem,Mathematics
Journal
Volume
Issue
ISSN
197
1
0096-3003
Citations 
PageRank 
References 
2
0.51
11
Authors
3
Name
Order
Citations
PageRank
Dehong Ji192.58
Hanying Feng2357.41
Weigao Ge315846.20