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 Ji | 1 | 9 | 2.58 |
Hanying Feng | 2 | 35 | 7.41 |
Weigao Ge | 3 | 158 | 46.20 |