Ulam stability of a linear difference equation in locally convex spaces

Abstract

We obtain a characterization of Ulam stability for the linear difference equation with constant coefficients \(x_{n+p}=a_₁x_{n+p-1}+…+a_{p}x_{n}\) in locally convex spaces. Moreover, for the first order linear difference equation we determine the best Ulam constant.

Authors

Adela Novac
Technical University of Cluj-Napoca, Romania


Technical University of Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Dorian Popa
Technical University of Cluj-Napoca, Romania

Keywords

Ulam stability; difference equations; best constant; locally convex spaces

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Cite this paper as:

A. Novac, D. Otrocol, D. Popa, Ulam stability of a linear difference equation in locally convex spaces, Results Math., 76, 33 (2021). https://doi.org/10.1007/s00025-021-01344-2

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Journal

Results in Mathematics

Publisher Name

Springer

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