Impulsive boundary value problem with parameter

AbstractIn this work, we investigate the existence of solutions for a class of second order impulsive differential equations using either the implicit function theorem or bifurcation techniques by the mean of Krasnosel'ski theorem.

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Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.01.024 ◽

2009 ◽

Vol 223 (1) ◽

pp. 438-448 ◽

Cited By ~ 32

Author(s):

Feng Meiqiang ◽

Xie Dongxiu

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Positive Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Multiple Positive Solutions ◽

Point Boundary

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Existence of positive solutions for second-order impulsive differential equations with delay and three-point boundary value problem

Advances in Difference Equations ◽

10.1186/s13662-016-0936-x ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Wenai Xu ◽

Wei Ding

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Positive Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Point Boundary ◽

Existence Of Positive Solutions ◽

Equations With Delay

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Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations

Abstract and Applied Analysis ◽

10.1155/2014/571536 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Xianghu Liu ◽

Yanfang Li

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Fractional Derivative ◽

Existence Of Solutions ◽

Integral Formula ◽

Boundary Value ◽

Sufficient Conditions ◽

Impulsive Differential Equations ◽

Uniqueness Of Solutions ◽

Liouville Fractional Derivative

This paper is concerned with the sufficient conditions for the existence of solutions for a class of generalized antiperiodic boundary value problem for nonlinear fractional impulsive differential equations involving the Riemann-Liouville fractional derivative. Firstly, we introduce the fractional calculus and give the generalized R-L fractional integral formula of R-L fractional derivative involving impulsive. Secondly, the sufficient condition for the existence and uniqueness of solutions is presented. Finally, we give some examples to illustrate our main results.

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Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-008-8231-6 ◽

2009 ◽

Vol 26 (1) ◽

pp. 145-158

Author(s):

Yuan-sheng Tian ◽

Chun-gen Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Positive Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Point Boundary ◽

Multiplicity Of Positive Solutions

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Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations

Archiv der Mathematik ◽

10.1007/s00013-005-1155-y ◽

2006 ◽

Vol 86 (2) ◽

pp. 163-175 ◽

Cited By ~ 9

Author(s):

K. G. Mavridis ◽

Ch. G. Philos ◽

P. Ch. Tsamatos

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Delay Differential Equations ◽

Existence Of Solutions ◽

Boundary Value ◽

Second Order ◽

Half Line ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions

Boundary Value Problems ◽

10.1155/2007/41589 ◽

2007 ◽

Vol 2007 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Chuanzhi Bai ◽

Dandan Yang

Keyword(s):

Differential Equations ◽

Periodic Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order

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Existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-998-0034-2 ◽

1998 ◽

Vol 13 (2) ◽

pp. 141-149 ◽

Cited By ~ 2

Author(s):

Wei Zhongli

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Banach Spaces ◽

Existence Of Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Sturm Liouville

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Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171295000974 ◽

1995 ◽

Vol 18 (4) ◽

pp. 757-764 ◽

Cited By ~ 3

Author(s):

Juan J. Nieto

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Ordinary Differential Equations ◽

Periodic Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Second Order ◽

Periodic Boundary Value Problem ◽

Extremal Solutions ◽

Monotone Method

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

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