POSITIVE SOLUTIONS TO FOURTH-ORDER NEUMANN BOUNDARY VALUE PROBLEM  

作　　者：Zhilong Li (School of Informational Management, Jiangxi University of Finance and Economics, Nanchang 330013, ) 

出　　处：《Annals of Differential Equations》2010年第2期190-194,共5页微分方程年刊（英文版）

基　　金：Supported by NNSF of China (No.60665001) ;Educational Department of Jiangxi Province(No.GJJ08358; No.GJJ08359; No.JXJG07436)

摘　　要：In this paper, we study a class of fourth-order Neumann boundary value problem (NBVP for short). By virtue of fixed point index and the spectral theory of linear operators, the existence of positive solutions is obtained under the assumption that the nonlinearity satisfies sublinear or superlinear conditions, which are relevant to the first eigenvalue of the corresponding linear operator.In this paper, we study a class of fourth-order Neumann boundary value problem (NBVP for short). By virtue of fixed point index and the spectral theory of linear operators, the existence of positive solutions is obtained under the assumption that the nonlinearity satisfies sublinear or superlinear conditions, which are relevant to the first eigenvalue of the corresponding linear operator.

关 键 词：fixed point index fourth-order Neumann boundary value problem positive solutions first eigenvalue 

分 类 号：O175.8[理学—数学]