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

DOI10.1016/j.amc.2018.02.036zbMath1427.39018OpenAlexW2793286767MaRDI QIDQ2323477

Masakazu Onitsuka

Publication date: 2 September 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.02.036

zbMATH Keywords

Hyers-Ulam stabilitylinear difference equationHUS constantconstant stepsize

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Linear difference equations (39A06) Numerical methods for difference equations (65Q10)

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Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient, Some stabilities of system of differential equations using Laplace transform, Well-posedness and stability for fuzzy fractional differential equations, Hyers–Ulam Stability for a First-Order Linear Proportional Nabla Difference Operator, Best constant for Ulam stability of Hill's equations, The \(z\)-transform method for the Ulam stability of linear difference equations with constant coefficients, On the best Ulam constant of a higher order linear difference equation, Best constant for Hyers-Ulam stability of two step sizes linear difference equations, On the best Ulam constant of a first order linear difference equation in Banach spaces

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