Geodesic
Stability of Nonlinear Neutral Mixed Type Liven-Nohel Integro-Differential Equations
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 721 .

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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.
Classification : 34K20 45J05, 45D05
Keywords: Asymptotic stability, contraction mapping theorem, neutral integro-differential equations, mixed type 
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     author = {Karima Bessioud and Abdelouaheb Ardjouni and Ahcene Djoudi},
     title = {Stability of {Nonlinear} {Neutral} {Mixed} {Type} {Liven-Nohel} {Integro-Differential} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
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     publisher = {mathdoc},
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Karima Bessioud; Abdelouaheb Ardjouni; Ahcene Djoudi. Stability of Nonlinear Neutral Mixed Type Liven-Nohel Integro-Differential Equations. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 721 . http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a4/