On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space
H. Attia Hussein1
Received11 May 1984
Abstract
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.