On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space

An equation of the form y−A(t)y=f(t) is considered, where Δy=y(t+δ)−y(t)δ, and the necessary and sufficient criteria for the exponential growth of the solution of this equation is obtained.

Bibliographic Details
Main Author: H. Attia Hussein
Format: Article
Language:English
Published: Hindawi Limited 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000424