Abstract:
In this thesis, sufficient conditions that guarantee the exponential stability and
also instability of the zero solution of a certain class of Volterra integro-differential
equations with multiple finite delays are obtained.Two Lyapunov functionals
are constructed in the thesis. These Lyapunov functionals are used to obtain in-
equalities that the solutions of the Volterra integro-differential equations satisfy.
These inequalities are used to deduce exponential stability results for thezero
solution oftheVolterraintegro-differential equations,as well as a criteria for
instability ofthezerosolutionoftheVolterraintegro-differential equations.
