Name
Abstract | ||
|---|---|---|
In this paper, we study the existence and uniqueness of nontrivial solution for the following third-order eigenvalue problems (TEP):u‴=λf(t,u,u′),0<t<1,u(0)=u′(η)=u″(0)=0,where λ>0 is a parameter, 12⩽η<1 is a constant, f:[0,1]×R×R→R is continuous, R=(-∞,+∞). Without any monotone-type and nonnegative assumption, we obtain serval sufficient conditions of the existence and uniqueness of nontrivial solution of TEP when λ in some interval. Our approach is based on Leray–Schauder nonlinear alternative. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2005.10.017 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Nontrivial solution,Eigenvalue problem,Fixed point,Leray–Schauder nonlinear alternative | Journal | 176 |
Issue | ISSN | Citations |
2 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinguang Zhang | 1 | 163 | 23.65 |
| Lishan Liu | 2 | 188 | 35.41 |
| Wu Congxin | 3 | 1070 | 73.09 |