Name
Title | ||
|---|---|---|
Second-order nonlinear singular Sturm-Liouville problems with integral boundary conditions |
Abstract | ||
|---|---|---|
This paper is concerned with the second-order singular Sturm-Liouville integral boundary value problems -u^''(t)=@lh(t)f(t,u(t)),00,h is allowed to be singular at t=0,1 and f(t,x) may be singular at x=0. By using the fixed point theory in cones, an explicit interval for @l is derived such that for any @l in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed. Our results extend and improve many known results including singular and non-singular cases. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2009.07.024 | Applied Mathematics and Computation |
Keywords | Field | DocType |
fixed point theory,second-order singular differential equation,positive solutions,differential equation,second order,boundary value problem,sturm liouville,sturm liouville problem | Boundary value problem,Singular value,Sturm–Liouville theory,Nonlinear system,Singular integral,Mathematical analysis,Singular solution,Partial differential equation,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
215 | 4 | Applied Mathematics and Computation |
Citations | PageRank | References |
3 | 0.55 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiqiang Jiang | 1 | 5 | 2.29 |
| Lishan Liu | 2 | 188 | 35.41 |
| Yonghong Wu | 3 | 212 | 34.70 |