NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL SYSTEMS AND ITS APPLICATIONS  

作　　者：戴求亿 Christopher C. Tisdell 

机构地区：[1]Department of Mathematics,Hunan Normal University [2]School of Mathematics,the University of New South Wales

出　　处：《Acta Mathematica Scientia》2009年第2期435-446,共12页数学物理学报（B辑英文版）

基　　金：supported by the NNSF of China(10671064);the second author was supported by the Australian Research Council's Discovery Projects(DP0450752)

摘　　要：This article considers the Dirichlet problem of homogeneous and inhomogeneous second-order ordinary differential systems. A nondegeneracy result is proven for positive solutions of homogeneous systems. Sufficient and necessary conditions for the existence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.This article considers the Dirichlet problem of homogeneous and inhomogeneous second-order ordinary differential systems. A nondegeneracy result is proven for positive solutions of homogeneous systems. Sufficient and necessary conditions for the existence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.

关 键 词：Second ordinary differential system Dirichlet problem positive solution NONDEGENERACY multiplicity result 

分 类 号：O175.1[理学—数学]