EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM |
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| Institution: | Xinhong Chen, Weibing Wang (Dept. of Math., Hunan University of Science and Technology, Xiangtan 411201, Hunan) |
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| Abstract: | In this paper, we are concerned with the existence and nonexistence of positive solutions to a three-point boundary value problems. By Krasnoselskii’s fixed point theorem in Banach space, we obtain sufficient conditions for the existence and non-existence of positive solutions to the above three-point boundary value problems. |
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| Keywords: | positive solution Krasnoselskii’s fixed point theorem cone |
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