A note on an open problem about the first Painlevé equation |
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Authors: | Hui-zeng Qin You-min Lu |
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Institution: | (1) Department of Mathematics, Shandong University of Technology, Zibo, 255049, China;(2) Department of Mathematics and Computer Science, Bloomsburg University, Bloomsburg, PA 17821, USA |
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Abstract: | In this note, we apply numerical analysis to the first Painlevé equation, find the conditions for it to have oscillating solutions
and therefore solve an open problem posed by Peter A. Clarkson.
Supported by the National Natural Science Foundation of China (No.60572073) and School Foundation of Shandong University of
Technology (No. 304050). |
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Keywords: | First Painlevé equation oscillating solutions numerical method |
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