Hyers-Ulam stability, exponential stability and exact admissibility of non-autonomous difference equations

Gul Rahmat; Zubair  Khan; Muhammad  Shoaib

doi:10.5269/bspm.68005

Gul Rahmat Islamia College Peshwar
Zubair Khan
Muhammad Shoaib

Abstract

In this manuscript we discuss the relation between Hyers-Ulam stability, uniform exponential stability and exact admissibility of non-autonomous difference equations in Banach spaces. We use the idea of discrete evolution semigroup in our proof. The same results for autonomous difference equations as an applications of our results are also given in the form of corollaries. Also, at the end we provide some examples to support our theoretical results.

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