Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions

被引:0
作者
Allaberen Ashyralyev
Yagub A Sharifov
机构
[1] Fatih University,Department of Mathematics
[2] ITTU,undefined
[3] Institute of Cybernetics of ANAS,undefined
[4] Baku State University,undefined
来源
Advances in Difference Equations | / 2013卷
关键词
Nonlinear Term; Fixed Point Theorem; Triangle Inequality; Nonlocal Boundary; Impulsive Differential Equation;
D O I
暂无
中图分类号
学科分类号
摘要
In the present paper, a system of nonlinear impulsive differential equations with two-point and integral boundary conditions is investigated. Theorems on the existence and uniqueness of a solution are established under some sufficient conditions on nonlinear terms. A simple example of application of the main result of this paper is presented.
引用
收藏
相关论文
共 26 条
[1]  
Benchohra M(2007)Multiple positive solutions for impulsive boundary value problem with integral boundary conditions Math. Sci. Res. J 11 614-626
[2]  
Berhoun F(2008)Nonlinear impulsive differential inclusions with integral boundary conditions Commun. Math. Anal 5 60-75
[3]  
Henderson J(2010)The method of upper and lower solutions for second order differential inclusions with integral boundary conditions Rocky Mt. J. Math 40 13-26
[4]  
Benchohra M(2005)Generalized quasilinearization method for a first order differential equation with integral boundary condition Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal 12 289-296
[5]  
Hamani S(2002)Differential equations with integral boundary conditions J. Comput. Appl. Math 147 1-8
[6]  
Henderson J(2009)Impulsive boundary problems with integral boundary conditions and one-dimensional Nonlinear Anal 70 3119-3126
[7]  
Benchohra M(2009)-Laplacian Nonlinear Anal 70 368-379
[8]  
Hamani S(2005)Second order boundary value problems with integral boundary conditions Dyn. Syst. Appl 14 281-296
[9]  
Nieto JJ(2008)Existence and approximation of solutions of nonlinear problems with integral boundary conditions Arch. Math 44 1-7
[10]  
Ahmad B(2007)Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions Int. J. Math. Anal 1 965-974