The initial value problems of first order impulsive differential equations in banach spaces

被引:0
作者
Qinfu S. [1 ]
Shixia L. [1 ]
机构
[1] Department of Mathematics, Qufu Normal University
基金
中国国家自然科学基金;
关键词
Banach space; First order impulsive differential; Measure of noncompactness; Minimax quasi-solution;
D O I
10.1007/BF02458537
中图分类号
学科分类号
摘要
In this paper, by using of monotone iterative technique, the existence and iterative approximation of the minimax quasi-solutions of the initial value problems for more general first order impulsive differential equations in Banach spaces are investigated.
引用
收藏
页码:33 / 42
页数:9
相关论文
共 7 条
[1]  
Shisheng Z., Fan W., On the Initial Problems of First Order Impulsive Differential Systems[j] . Applied Mathematics and Mechanics ( English Ed) , 1998,19(4) :303
[2]  
Dajun G., Xinzhi L., Extremal Solutions of Nonlinear Impulsive Integro-differential Equation in Banach Spaces[j]. J Math Appl Anal, 1993,177(2) :538
[3]  
Erbe L.H., Xinzhi L., Quasi-solutions of Nonlinear Impulsive Equations in Abstract Cones[j] . Appl Anal, 1989,34(2) :231
[4]  
Deimling K., Nonlinear Functional Analysis[M] . New York: Springer-Verlag, 1985.
[5]  
Dajun G., SunJingxian, Ordinary of Differential Equation in Abstract Spaces [M] . Jinan: Shandong Science and Technology Press
[6]  
Dajun G., Extermal Solutions of Nonlinear Fredholm Integral Equation in Banach Spaces [J]. J North-Eastern Math , 1991,7(4) :416
[7]  
Lishan L., The Solutions of Nonlinear Integro-differential Equations of Mixed Type in Banach Space [ J]. Ac Ta Mathematics Sinica, 1995,38(6)