A necessary and sufficient condition of existence of positive solutions for nonlinear singular differential systems |
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| Authors: | Xinguang Zhang Lishan Liu |
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| Institution: | a Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, People's Republic of China
b Department of Mathematics and Informational Science, Yantai University, Yantai 264005, Shandong, People's Republic of China |
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| Abstract: | In this paper, by means of monotone iterative technique, a necessary and sufficient condition of the existence of positive solution for a class of nonlinear singular differential system is established, the results of the existence and uniqueness of the positive solution and the iterative sequence of solution are given. In the end, two classes extending boundary value differential systems are discussed and some further results are obtained. |
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| Keywords: | Differential systems Necessary and sufficient condition Positive solutions Cone |
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