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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…