@article{Kerekes2023, 
author = {Delia-Maria Kerekes and Bianca Moșneguțu and Dorian Popa},
title = {On Ulam stability of a second order linear difference equation},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20254-20268},
keywords = {Ulam stability, approximate solution, linear difference equation, Riccati difference equation, nonconstant coefficients},
url = {https://www.sciopen.com/article/10.3934/math.20231032},
doi = {10.3934/math.20231032},
abstract = {In this paper we obtain some Ulam stability results for the second order and the third order linear difference equation with nonconstant coefficients in a Banach space. The main idea of the approach is to decompose the second order linear difference equation in a Riccati difference equation and a first order difference equation. In this way we extend some results for linear difference equations with constant coefficients and for linear difference equations with periodic coefficients.}
}