Study of singular boundary value problems for second order impulsive differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.07.106 ◽

2007 ◽

Vol 331 (1) ◽

pp. 159-176 ◽

Cited By ~ 22

Author(s):

Yong-Hoon Lee ◽

Xinzhi Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Singular boundary value problems for first and second order impulsive differential equations

Aequationes Mathematicae ◽

10.1007/s00010-004-2735-9 ◽

2005 ◽

Vol 69 (1-2) ◽

pp. 83-96 ◽

Cited By ~ 66

Author(s):

Ravi P. Agarwal ◽

Daniel Franco ◽

Donal O’Regan

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Singular boundary-value problems for ordinary second-order differential equations

Journal of Soviet Mathematics ◽

10.1007/bf01100361 ◽

1988 ◽

Vol 43 (2) ◽

pp. 2340-2417 ◽

Cited By ~ 28

Author(s):

I. T. Kiguradze ◽

B. L. Shekhter

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Second Order Differential Equations

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Unbounded solutions of the singular boundary value problems for second order differential equations on the half-line

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00801-9 ◽

2004 ◽

Vol 147 (3) ◽

pp. 629-644 ◽

Cited By ~ 20

Author(s):

Baoqiang Yan ◽

Yansheng Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Half Line ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Unbounded Solutions ◽

Second Order Differential Equations

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Existence of nonnegative solutions of singular boundary-value problems for second-order ordinary differential equations

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0285-5 ◽

2006 ◽

Vol 137 (3) ◽

pp. 4879-4884

Author(s):

M. N. Yakovlev

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Nonnegative Solutions

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Positive Solutions for Singular Boundary Value Problems of a Coupled System of Second Order Ordinary Differential Equations

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00021 ◽

2010 ◽

Vol 12 (1) ◽

pp. 21-26 ◽

Cited By ~ 1

Author(s):

Hongyu LI ◽

Jingxian SUN

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Coupled System ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Existence and convergence of solutions of singular boundary value problems for second order ordinary differential equations and applications

Applicable Analysis ◽

10.1080/00036810008840858 ◽

2000 ◽

Vol 75 (3-4) ◽

pp. 425-440

Author(s):

Jiehua Zhu ◽

Zheng-an Yao ◽

Ke-Pao Lin

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Convergence Of Solutions

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Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line

Nonlinear Analysis ◽

10.1016/j.na.2009.01.092 ◽

2009 ◽

Vol 71 (7-8) ◽

pp. 2564-2575 ◽

Cited By ~ 9

Author(s):

Lishan Liu ◽

Zenggui Wang ◽

Yonghong Wu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Second Order ◽

Half Line ◽

Singular Boundary ◽

Multiple Positive Solutions ◽

Singular Boundary Value Problems ◽

Second Order Differential Equations

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Singular Boundary Value Problems for Superlinear Second Order Ordinary and Delay Differential Equations

Journal of Differential Equations ◽

10.1006/jdeq.1996.0147 ◽

1996 ◽

Vol 130 (2) ◽

pp. 333-355 ◽

Cited By ~ 66

Author(s):

Ravi P. Agarwal ◽

Donal O'Regan

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Delay Differential

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Multiple solutions of second-order three-point singular boundary value problems on the half-line

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.04.057 ◽

2008 ◽

Vol 203 (2) ◽

pp. 523-535

Author(s):

Ping Kang ◽

Zhongli Wei

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Boundary Value ◽

Second Order ◽

Half Line ◽

Singular Boundary ◽

Singular Boundary Value Problems

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Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum

Discrete Dynamics in Nature and Society ◽

10.1155/2010/393757 ◽

2010 ◽

Vol 2010 ◽

pp. 1-15

Author(s):

Piao-Piao Shi ◽

Wen-Xia Wang

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Solution Method ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Existence Results ◽

Second Order ◽

Comparison Result ◽

Upper Solution ◽

Lower And Upper Solution

We investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.

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