Best constant for Ulam stability of first-order h-difference equations\n with periodic coefficient

2020/04/06 by Douglas R. Anderson, Masakazu Onitsuka, Anderson, Douglas R. +3
Mathematics · #34N05 #39A10 #39A23 #39A45 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Differential Equations Analysis #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2004.03465

openalex publication_date 2020/04/06 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We establish the best (minimum) constant for Ulam stability of first-order\nlinear h-difference equations with a periodic coefficient. First, we show\nUlam stability and find the Ulam stability constant for a first-order linear\nequation with a period-two coefficient, and give several examples. In the last\nsection we prove Ulam stability for a periodic coefficient function of\narbitrary finite period. Results on the associated first-order perturbed linear\nequation with periodic coefficient are also included.\n

Related

• Hyers-Ulam Stability For A Type Of Discrete Hill Equation
• Best constant for Hyers–Ulam stability of two step sizes linear difference equations
• Hyers-Ulam stability of the first order difference equation generated by\n linear maps
• On the best Ulam constant of a higher order linear difference equation
• Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes