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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 8 (1985), Issue 2, Pages 403-406
doi:10.1155/S0161171285000424

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

H. Attia Hussein

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

Received 11 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.