Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664706 | Acta Mathematica Scientia | 2009 | 12 Pages |
Abstract
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 existence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)