Name
Title | ||
|---|---|---|
Positive solutions of a singular boundary value problem for systems of second-order differential equations |
Abstract | ||
|---|---|---|
In this paper, we establish the conditions for the existence of positive solutions of a singular boundary value problem with two second-order differential equations. The development is based on a new maximum principle for the operator L2u=u″-2au″+(a2+b2)u under periodic boundary conditions and a fixed-point theorem in cones. When the eigenvalue λ lies in certain range, the boundary value problem in question has at least one positive solution. Our results include, extend and improve some previous results. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2008.12.019 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Singular boundary value problem,System of differential equations,Positive solutions,Fixed-point theorem in cones,Completely continuous operator | Boundary value problem,Robin boundary condition,Maximum principle,Mathematical analysis,Singular solution,Free boundary problem,Singular boundary method,Mathematics,Elliptic boundary value problem,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
208 | 2 | 0096-3003 |
Citations | PageRank | References |
1 | 0.49 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Weiwei Liu | 1 | 1 | 0.49 |
| Lishan Liu | 2 | 4 | 2.31 |
| Yonghong Wu | 3 | 212 | 34.70 |