4 citations · 4 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
A Multi-Valued Logarithm on Time Scales
Douglas R. Anderson, Martin Bohner
A new definition of a multi-valued logarithm on time scales is introduced for delta-differentiable functions that never vanish. This new logarithm arises naturally from the definit…
Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales
Douglas R. Anderson
We establish the stability of higher-order linear non-homogeneous Cauchy-Euler dynamic equations on time scales in the sense of Hyers and Ulam. That is, if an approximate solution…
Existence of three solutions for a first-order problem with nonlinear non-local boundary conditions
Douglas R. Anderson
Conditions for the existence of at least three positive solutions to the nonlinear first-order problem with a nonlinear nonlocal boundary condition given by && y'(t) - p(t)y(t) = \…