Geodesic
Weighted $S^p$-pseudo $S$-asymptotically periodic solutions for some systems of nonlinear delay integral equations with superlinear perturbation
Ural mathematical journal, Tome 9 (2023) no. 1, pp. 78-92

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This work is concerned with the existence of positive weighted pseudo $S$-asymptotically periodic solution in Stepanov-like sense for some systems of nonlinear delay integral equations. In this context, we will first be interested in establishing a suitable composition theorem, and then some existing results concerning the $S$-asymptotic periodicity in the scalar case are developed here for the vector case. We point out that, in this paper, we adopt some changes in the definitions, which, although slight, are necessary to accomplish the work.
Keywords: weighted $S^{p}$-pseudo $S$-asymptotic periodicity, $S$-asymptotic periodicity, systems of nonlinear delay integral equations, equations with superlinear perturbation. 
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     author = {Hamza El Bazi and Abdellatif Sadrati},
     title = {Weighted $S^p$-pseudo $S$-asymptotically periodic solutions for some systems of nonlinear delay integral equations with superlinear perturbation},
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     pages = {78--92},
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     url = {http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a5/}
}
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Hamza El Bazi; Abdellatif Sadrati. Weighted $S^p$-pseudo $S$-asymptotically periodic solutions for some systems of nonlinear delay integral equations with superlinear perturbation. Ural mathematical journal, Tome 9 (2023) no. 1, pp. 78-92. http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a5/