Abstract:
This thesis is about the stability of completely delayed dynamic equations
on time scale.
Fixed point theory is used to study the stability properties of the zero
solution of dynamic equations on time scales. In particular, the Banach
xed point theorem is used in this thesis.The dynamic equation is inverted
into an equivalent integral dynamic equation and a suitable de ne map-
ping is de ned based on the equivalent integral dynamic equation which
is then used to discuss the stability properties of the zero solution of the
dynamic equation. Su cient conditions are obtained for the zero solution
of completely delayed dynamic equations to be asymptotically stable.
