3 papers
math.CA2023
Best Ulam constants for damped linear oscillators with variable coefficients
Douglas R. Anderson, Masakazu Onitsuka, Donal O'Regan
This study uses an associated Riccati equation to study the Ulam stability of non-autonomous linear differential vector equations that model the damped linear oscillator. In partic…
math.CA2023
Best Ulam constants for two-dimensional non-autonomous linear differential systems
Douglas R. Anderson, Masakazu Onitsuka, Donal O'Regan
This study deals with the Ulam stability of non-autonomous linear differential systems without assuming the condition that they admit an exponential dichotomy. In particular, the b…
math.CA2023
Hyers-Ulam Stability For A Type Of Discrete Hill Equation
Douglas R. Anderson, Masakazu Onitsuka
We establish the Hyers-Ulam stability of a second-order linear Hill-type -difference equation with a periodic coefficient. Using results from first-order -difference equation…