Name
Title | ||
|---|---|---|
A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions |
Abstract | ||
|---|---|---|
In this paper, we concert with the existence of positive solution for the following nonlinear singular differential system with four-point boundary conditions -x^''=f(t,y),-y^''=g(t,x),@ax(0)-@bx^'(0)=@dx(1)+@cx^'(1)=0,y(0)=ay(@x\"1),y(1)=by(@x\"2), where 00. By structuring upper and lower solution and using Schauder fixed point theorem, a necessary and sufficient condition for the existence of positive solutions is established. An example is worked out to illustrate our main result. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2009.10.044 | Applied Mathematics and Computation |
Keywords | Field | DocType |
schauder fixed point theorem,necessary and sufficient condition,differential systems,positive solutions,boundary condition | Singular point of a curve,Differential equation,Boundary value problem,Schauder fixed point theorem,Differential systems,Nonlinear system,Mathematical analysis,Numerical analysis,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
215 | 10 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.36 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinguang Zhang | 1 | 163 | 23.65 |
| Lishan Liu | 2 | 188 | 35.41 |