Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem

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作者
Ruyun Ma
Jiemei Li
机构
[1] Northwest Normal University,College of Mathematics and Information Science
[2] Lanzhou Jiaotong University,The School of Mathematics, Physics & Software Engineering
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关键词
Banach Space; Global Bifurcation; Reflexive Banach Space; Nodal Solution; Fixed Point Index;
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摘要
We are concerned with the existence of positive solutions of singular second-order boundary value problem [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], which is not necessarily linearizable. Here, nonlinearity [inline-graphic not available: see fulltext] is allowed to have singularities at [inline-graphic not available: see fulltext]. The proof of our main result is based upon topological degree theory and global bifurcation techniques.
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