Best constant for Hyers-Ulam stability of second-order \(h\)-difference equations with constant coefficients

DOI10.1007/s00025-019-1077-9zbMath1433.39005OpenAlexW2964171828MaRDI QIDQ2274920

Douglas R. Anderson, Masakazu Onitsuka

Publication date: 1 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1077-9

zbMATH Keywords

Hyers-Ulam stabilitydifference equationsconstant coefficientsvariation of constantsHilger imaginary circle

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (17)

On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations ⋮ Hyers-Ulam stability of second-order linear dynamic equations on time scales ⋮ Hyers-Ulam stability for quantum equations ⋮ Ulam's type stability of delayed discrete system with second-order differences ⋮ Hyers-Ulam stability for quantum equations of Euler type ⋮ Hyers-Ulam stability for a type of discrete Hill equation ⋮ Best constant for Ulam stability of first-order \(h\)-difference equations with periodic coefficient ⋮ Best constant for Ulam stability of Hill's equations ⋮ Hyers-Ulam stability and best constant for Cayley \(h\)-difference equations ⋮ On Ulam stability of a third order linear difference equation in Banach spaces ⋮ On the best Ulam constant of a higher order linear difference equation ⋮ Best Hyers-Ulam stability constants on a time scale with discrete core and continuous periphery ⋮ 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 ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Hyers-Ulam stability for Cayley quantum equations and its application to \(h\)-difference equations ⋮ Ulam-Hyers stability of second-order convergent finite difference scheme for first- and second-order nonhomogeneous linear differential equations with constant coefficients

Cites Work

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• Ulam-Hyers stability of dynamic equations on time scales via Picard operators
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• Hyers--Ulam--Rassias stability of a linear recurrence
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam stability of Pielou logistic difference equation
• Hyers-Ulam stability of elliptic Möbius difference equation
• ON APPROXIMATE SOLUTIONS OF SOME DIFFERENCE EQUATIONS

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