Existence and Uniqueness of Positive Solution for a Singular Nonlinear Second-Order [inline-graphic not available: see fulltext]-Point Boundary Value Problem

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作者
Xuezhe Lv
Minghe Pei
机构
[1] Beihua University,Department of Mathematics
来源
Boundary Value Problems | / 2010卷
关键词
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Full Article;
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摘要
The existence and uniqueness of positive solution is obtained for the singular second-order [inline-graphic not available: see fulltext]-point boundary value problem [inline-graphic not available: see fulltext] for [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are constants, and [inline-graphic not available: see fulltext] can have singularities for [inline-graphic not available: see fulltext] and/or [inline-graphic not available: see fulltext] and for [inline-graphic not available: see fulltext]. The main tool is the perturbation technique and Schauder fixed point theorem.
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