Geodesic
Positivity and Periodicity in Nonlinear Neutral Mixed Type Levin-Nohel Integro-Differential Equations
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 253

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In this work, we give sufficient conditions for the existence of periodic and positive periodic solutions for a nonlinear neutral mixed type Levin-Nohel integro-differential equation with variable delays by using Krasnoselskii's fixed point theorem. Also, we obtain the existence of a unique periodic solution of the posed equation by means of the contraction mapping principle. As an application, we give an example to illustrate our results. Previous results are extended and generalized.
Classification : 34K13, 45J05, 45D05
Keywords: fixed points, positivity, periodicity, Levin-Nohel integro-differential equations 
Karima Bessioud; Abdelouaheb Ardjouni; Ahcene Djoudi. Positivity and Periodicity in Nonlinear Neutral Mixed Type Levin-Nohel Integro-Differential Equations. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 253 . http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a5/
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     author = {Karima Bessioud and Abdelouaheb Ardjouni and Ahcene Djoudi},
     title = {Positivity and {Periodicity} in {Nonlinear} {Neutral} {Mixed} {Type} {Levin-Nohel} {Integro-Differential} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {253 },
     year = {2025},
     volume = {49},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a5/}
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