Existence and uniqueness of solutions to complex-valued nonlinear impulsive differential systems

Advances in Difference Equations

Tao Fang¹  Jitao Sun² 

[1] Department of Mathematics, Tongji University, Shanghai, China;School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, China

关键词: nonlinear system;    impulsive system;    existence and uniqueness;    solution;    complex;   

DOI  :  10.1186/1687-1847-2012-115

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Since the quantum system, a classical example of complex-valued system, is one of the foci of ongoing research, in this paper, the issue of existence and uniqueness of solutions to nonlinear impulsive differential systems defined in complex fields, to be brief, complex-valued nonlinear impulsive differential systems, is addressed. The existence and uniqueness conditions of solutions of such systems are established by fixed point theory. MSC:34A37, 34A12, 34A34.

【 授权许可】

CC BY