Stability of Nonlinear Neutral Mixed Type Liven-Nohel Integro-Differential Equations

Karima Bessioud, Abdelouaheb Ardjouni, Ahcene Djoudi

In this paper, we use the contraction mapping theorem to obtain asymptotic stability results about the zero solution for a nonlinear neutral mixed type Levin-Nohel integro-differential equation. An asymptotic stability theorem with a necessary and sufficient condition is proved. An example is also given to illustrate our main results.