Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation $y''+ alpha y'(t) +eta y = 0$ or $y''+ alpha y'(t) +eta y = f(t)$, then there exists an exa...

Full description

Bibliographic Details
Main Authors: Yongjin Li, Jinghao Huang
Format: Article
Language:English
Published: Texas State University 2013-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/184/abstr.html