Hyers-Ulam stability of the linear recurrence with constant coefficients
نویسندگان
چکیده
منابع مشابه
Hyers-ulam Stability of the Linear Recurrence with Constant Coefficients
Problem 1.1. Given a metric group (G,·,d), a positive number ε, and a mapping f : G→ G which satisfies the inequality d( f (xy), f (x) f (y)) ≤ ε for all x, y ∈ G, do there exist an automorphism a of G and a constant δ depending only on G such that d(a(x), f (x)) ≤ δ for all x ∈G? If the answer to this question is affirmative, we say that the equation a(xy) = a(x)a(y) is stable. A first answer ...
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* Correspondence: baak@hanyang. ac.kr Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea Full list of author information is available at the end of the article Abstract In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the fo...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2005
ISSN: 1687-1847
DOI: 10.1155/ade.2005.101