NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL SYSTEMS AND ITS APPLICATIONS |
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| Authors: | Dai Qiuyi Christopher C Tisdell |
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| Institution: | [1]Department of Mathematics, Hunan Normal University, Changsha 410081, China [2]School of Mathematics, the University of New South Wales, Sydney 2052, Australia |
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| 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 ex-istence of multiple positive solutions for inhomogeneous systems axe obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems. |
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| Keywords: | Second ordinary differential system Dirichlet problem positive solution nondegeneracy multiplicity result |
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