Summary: HyersUlam stability of second-order linear
dynamic equations on time scales
Douglas R. Anderson
Concordia College, Moorhead, Minnesota USA
8:30 am, October 16, 2011, Burnett Hall 118
In 1940, Stan Ulam posed the following problem concerning the stability
of functional equations:
Give conditions in order for a linear mapping near an
approximately linear mapping to exist.
The problem for the case of approximately additive mappings was solved
by Hyers in 1941, who proved that the Cauchy equation is stable in
The result of Hyers was generalized by Rassias in 1978.
In 1998 Alsina and Ger were the first authors who investigated the
Hyers-Ulam stability of a differential equation.
AMS Central Section Meeting, U of Nebraska-Lincoln Hyers-Ulam Stability on Time Scales
Li and Shen (2009, 2010) proved the HyersUlam stability of both
homogeneous and nonhomogeneous linear differential equations of second