Hyers–Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize

Masakazu Onitsuka

Applied Mathematics and Computation, 2018, vol. 330, issue C, 143-151

Abstract: The present paper deals with Hyers–Ulam stability of the first-order linear difference equation Δhx(t)−ax(t)=f(t) on hZ, where Δhx(t)=(x(t+h)−x(t))/h and hZ={hk|k∈Z} for the constant stepsize h > 0; a is a real number; f(t) is a real-valued function on hZ. The main purpose of this paper is to find the best HUS constant on hZ. Several relationships between solutions of two different perturbed difference equations are also given.

Keywords: Hyers–Ulam stability; HUS constant; Linear difference equation; Constant stepsize (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:143-151

DOI: 10.1016/j.amc.2018.02.036

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