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

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**Authors:**K. BESSIOUD, A. ARDJOUNI AND A. DJOUDI

**DOI:**10.46793/KgJMat2205.721B

**Abstract:**

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.

**Keywords:**

Asymptotic stability, contraction mapping theorem, neutral integro-diﬀerential equations, mixed type.

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