BOHL-PERRON THEOREM FOR IMPLICIT DYNAMIC EQUATIONS ON TIME SCALES

Abstract

In this pap er, we develop a stability theory for implic it dynamic equations which is
a general form of differential algebraic equations and implicit d iffe re nce equations.
Sp ecifically, we investigate Bohl-Perron typ e stability theorems for implicit dynamic
equations on the time sc ale s. We s how the relation b etween the b oundednes s of the
solution of the nonhomogeneous implicit dynamic equation and the stability of the
corresp onding homogeneous eq uati on.