Name
Abstract | ||
|---|---|---|
In this paper, by establishing a new comparison theorem and constructing upper and lower solutions, some sufficient conditions of existence of positive solutions for the following singular fourth order three point eigenvalue problemu(4)(t)=λf(t,u),t∈(0,1),u(0)=αu(η),u(1)=0,u″(0)=βu″(η),u″(1)=0,are established due to Schauder’s fixed point theorem for λ large enough, where α,β,η∈(0,1) are constants, f can be singular at t=0 and/or 1, u=0. Moreover, some peculiar cases are discussed and some further results are obtained. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2006.12.017 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Eigenvalue problems,Positive solutions,Upper and lower solutions,Maximal principle | Singular point of a curve,Mathematical optimization,Fourth order,Mathematical analysis,Numerical analysis,Comparison theorem,Eigenvalues and eigenvectors,Fixed-point theorem,Mathematics | Journal |
Volume | Issue | ISSN |
189 | 2 | 0096-3003 |
Citations | PageRank | References |
2 | 0.74 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinguang Zhang | 1 | 163 | 23.65 |
| Lishan Liu | 2 | 188 | 35.41 |
| Huichao Zou | 3 | 4 | 2.24 |