Acta mathematica scientia, Series B >
NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL#br# SYSTEMS AND ITS APPLICATIONS
Received date: 2007-03-14
Online published: 2009-03-20
Supported by
The first author was supported by the NNSF of China (10671064), and the second author was supported by the Australian Research Council’s Discovery Projects (DP0450752)
This article considers the Dirichlet problem of homogeneous and inhomoge-neous second-order ordinary differential systems. A nondegeneracy result is proven for positive solutions of homogeneous systems. Sufficient and necessary conditions for the ex-istence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.
Dai Qiuyi|Christopher C. Tisdell . NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL#br# SYSTEMS AND ITS APPLICATIONS[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 435 -446 . DOI: 10.1016/S0252-9602(09)60043-6
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