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;
D O I：
暂无
中图分类号：
学科分类号：
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].
引用
收藏
相关论文
共 50 条
[11]   Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations [J].
Fengfei Jin ;
Baoqiang Yan .
Boundary Value Problems, 2008
[12]   Asymptotic representation of solutions for second-order impulsive differential equations [J].
Akgol, S. Dogru ;
Zafer, A. .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 333 :53-60
[13]   Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations [J].
Jin, Fengfei ;
Yan, Baoqiang .
BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
[14]   Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations [J].
R. G. Akhmetov .
Differential Equations, 2005, 41 :757-763
[15]   Second-order differential equations with deviating arguments [J].
T Jankowski ;
W Szatanik .
Boundary Value Problems, 2006
[16]   Existence and asymptotics of solutions for a class of second-order quasilinear ordinary differential equations [J].
Akhmetov, RG .
DIFFERENTIAL EQUATIONS, 2005, 41 (06) :757-763
[17]   Periodic solutions of second-order nonautonomous dynamical systems [J].
Martin Schechter .
Boundary Value Problems, 2006
[18]   On the Hyper-Order of Solutions of Some Second-Order Linear Differential Equations [J].
CHEN Zong Xuan Department of Mathematics Jiangxi Normal University Nanchang P R China .
Acta Mathematica Sinica(English Series), 2002, 18 (01) :79-88
[19]   On the Hyper-Order of Solutions of Some Second-Order Linear Differential Equations [J].
Zong Xuan Chen .
Acta Mathematica Sinica, 2002, 18 :79-88
[20]   On the Hyper-Order of solutions of some second-order linear differential equations [J].
Chen, ZX .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (01) :79-88
12345