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MULTIPLE POSITIVE SOLUTIONS FOR A FOURTH-ORDER NONLINEAR EIGENVALUE PROBLEM
Yong-Hui Zhou,Yun-Rui Yang,Li Liu
(School of Math. and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, PR China)
DOI:
Abstract:
In this paper, by using the Guo-Krasnoselskii’s fixed-point theorem, we establish the existence and multiplicity of positive solutions for a fourth-order nonlinear eigenvalue problem. The corresponding examples are also included to demonstrate the results we obtained.
Key words:  positive solutions; eigenvalue problem; fixed point