An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations — The sub-half-linear case期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations — The sub-half-linear case

Authors:	T Kusano

Institution:	^a Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 841-0180, Japan ^b Serbian Academy of Sciences and Arts, Kneza Mihaila 35, 11000 Beograd, Serbia ^c Department of Mathematics, Faculty of Education, Kumamoto University, Kumamoto, 860-8555, Japan

Abstract:	The existence and the asymptotics behavior for the large value of the variable of the positive solutions of generalized Thomas-Fermi equation presented in this article are proved. It is assumed that coefficient q(t) belongs to the class of regularly varying functions in the sense of Karamata. Properties of these functions and the Schauder-Tychonoff fixed point theorem are the main tools for the proofs.

Keywords:	primary 34G11 secondary 26A12
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