Abstract:
In this thesis, sufficient conditions for the zero solution of nonlinear
Volterra integrodifferential equations are established. The Lyapunov’s
direct method is the main mathematical technique used in the study. Thus,
a Lyapunov functional is constructed. This Lyapunov functional is then
used to derive sufficient conditions for the zero solution of nonlinear
Volterra integrodifferential equations to be stable, uniformly stable and
uniformly aymptotically
stable.
