Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy

• Main Authors: Wong, Patricia Jia Yiing, Xia, Yong-Hui, Yuan, Xiaoqing, Kou, Kit Ian
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/103653; http://hdl.handle.net/10220/20026
• Institution: Nanyang Technological University

Nonuniform exponential dichotomy has been investigated extensively. The essential condition of these previous results is based on the assumption that the nonlinear term satisfies . However, this condition is very restricted. There are few functions satisfying . In some sense, this assumption is not...