Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637536 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
In this paper, we study the existence and uniqueness of nontrivial solution for the following third-order eigenvalue problems (TEP):uâ´=λf(t,u,uâ²),0 0 is a parameter, 12⩽η<1 is a constant, f:[0,1]ÃRÃRâR is continuous, R=(-â,+â). 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xinguang Zhang, Lishan Liu, Congxin Wu,