9 citations · 12 across the 8 of their papers we have counts for
10 papers
Hyers-Ulam stability
Davor Dragicevic, Masakazu Onitsuka
We introduce a new concept of Hyers-Ulam stability, in which in the size of a pseudosolution of a given ordinary differential equation and its deviation from an exact solution are…
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…
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…
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…
Conditional Lipschitz shadowing for ordinary differential equations
Lucas Backes, Davor Dragicevic, Masakazu Onitsuka +1
We introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish t…
Hyers-Ulam stability for differential systems with constant coefficient matrix
Douglas R. Anderson, Masakazu Onitsuka
We explore the Hyers-Ulam stability of perturbations for a homogeneous linear differential system with constant coefficient matrix. New necessary and sufficient conditi…
Hyers--Ulam stability for quantum equations
Douglas R. Anderson, Masakazu Onitsuka
We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum (-difference) equation of first order, where the constant coefficient is allowed to range over the com…
Best constant for Ulam stability of first-order h-difference equations with periodic coefficient
Douglas R. Anderson, Masakazu Onitsuka, John Michael Rassias
We establish the best (minimum) constant for Ulam stability of first-order linear -difference equations with a periodic coefficient. First, we show Ulam stability and find the U…
Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
Masakazu Onitsuka, Satoshi Tanaka
A class of two-dimensional linear differential systems is considered. The box-counting dimension of the graphs of solution curves is calculated. Criteria to obtain the box-counting…
Hyers-Ulam stability of second-order linear dynamic equations on time scales
Douglas R. Anderson
We establish the stability of second-order linear dynamic equations on time scales in the sense of Hyers and Ulam. To wit, if an approximate solution of the second-order linear equ…