Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations

被引：0
|
作者：
Irena Rachůnková
Jan Tomeček
机构：
[1] Palacký University,Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science
来源：
Boundary Value Problems | / 2009卷
关键词：
Differential Equation; Functional Equation; Local Maximum; Point Theorem; Lipschitz Constant;
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摘要：
This paper investigates the singular differential equation [inline-graphic not available: see fulltext], having a singularity at [inline-graphic not available: see fulltext]. The existence of a strictly increasing solution (a homoclinic solution) satisfying [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] is proved provided that [inline-graphic not available: see fulltext] has two zeros and a linear behaviour near [inline-graphic not available: see fulltext].
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