Double Perturbations for Impulsive Differential Equations in Banach Spaces

• Published in: Taiwanese journal of mathematics Vol. 20; no. 5; pp. 1065 - 1077
• Main Authors: Chen, Pengyu, Li, Yongxiang, Zhang, Xuping
• Format: Journal Article
• Language: English
• Published: Mathematical Society of the Republic of China 01.10.2016
• Subjects: Abstract spaces; Banach space; Cauchy problem; Differential equations; Iterative methods; Mathematical constants; Mathematical functions

In this article, we are concerned with the existence of extremal solutions to the initial value problem of impulsive differential equations in ordered Banach spaces. The existence and uniqueness theorem for the solution of the associated linear impulsive differential equation is established. With th...