Article ID Journal Published Year Pages File Type
4637536 Applied Mathematics and Computation 2006 8 Pages PDF
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 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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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