Publications internationales

2025
Mohamed Amine Kerker; Elbahi Hadidi; Abdelouahab Salmi; Nouressadat Touafek. (2025), On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k. Journal of Difference Equations and Applicationshttps://www.tandfonline.com/doi/full/10.1080/10236198.2025.2515065
2024
Mohamed Amine KERKER. (2024), Blow-up for Semilinear Wave Equations with Logarithmic Source Term at Supercritical Initial Energy Level. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
2022
Sana Karfes, Elbahi Hadidi, Mohamed Amine Kerker. (2022), On the maximum number of limit cycles of a planar differential system. The International Journal of Nonlinear Analysis and Applicationshttp://dx.doi.org/10.22075/IJNAA.2021.23049.2468
Mohamed Amine Kerker. (2022), Finite time blow-up for quasilinear wave equations with nonlinear dissipation. Studia Universitatis Babeş-Bolyai Mathematicahttps://www.cs.ubbcluj.ro/~studia-m/index.php/journal/article/view/857
Mohamed Amine Kerker. (2022), Blow-up of positive initial energy solutions for nonlinearly damped semilinear wave equations. Revista de la Unión Matemática Argentinahttp://dx.doi.org/10.33044/revuma.2099
Sihem Oudina, Mohamed Amine Kerker, Abdelouahab Salmi. (2022), Dynamics of a system of higher order difference equations with a period-two coefficient. The International Journal of Nonlinear Analysis and Applicationshttp://dx.doi.org/10.22075/IJNAA.2022.26716.3398
Sihem Oudina, Mohamed Amine Kerker, Abdelouahab Salmi. (2022), On the global behavior of the rational difference equation. Results in Nonlinear Analysishttp://dx.doi.org/10.53006/rna.974156
2021
Mohamed Amine Kerker & Asma Bouaziz. (2021), On the global behavior of a higher-order nonautonomous rational difference equation. Electronic Journal of Mathematical Analysis and Applications http://math-frac.org/Journals/EJMAA/Vol9(1)_Jan_2021/
Mohamed Amine Kerker, Elbahi Hadidi & Abdelouahab Salmi. (2021), On the dynamics of a nonautonomous rational difference equation. International Journal of Nonlinear Analysis and Applications https://ijnaa.semnan.ac.ir/article_4760.html
2020
Mohamed Amine Kerker, Elbahi Hadidi & Abdelouahab Salmi . (2020), Qualitative behavior of a higher-order nonautonomous rational difference equation. Journal of Applied Mathematics and Computinghttps://link.springer.com/article/10.1007/s12190-020-01360-5
2019
Mohamed Amine Kerker. (2019), Singularities of a characteristic Cauchy problem for a PDE with singular coefficients (Preprint). ArXivhttps://arxiv.org/abs/1909.11709v1

Résumé: In this paper we give an explicit representation of the solutions of a characteristic Cauchy problem for a class of PDEs with singular coefficients. We give the explicit solutions in terms of the Gauss hypergeometric functions, which enable us to study the singularities and the analytic continuation. Our results are illustrated through some examples.

2018
Asma Bouaziz & Mohamed Amine Kerker. (2018), Positive solutions for a multi-order fractional nonlinear system with variable delays. Filomathttp://www.doiserbia.nb.rs/Article.aspx?ID=0354-51801818155B

Résumé: This paper is concerned with the existence and uniqueness of the positive solution for a multi-order fractional nonlinear system with variable delays. The fractional derivative will be in the Caputo sense. The obtained results are based on some fixed point theorems.

2015
Ali Bentrad & Mohamed Amine Kerker. (2015), Exact solutions of a PDE with singular coefficients. Complex Variables and Elliptic Equationshttps://www.tandfonline.com/doi/abs/10.1080/17476933.2014.998409?journalCode=gcov20
2014
Mohamed Amine Kerker. (2014), On the Cauchy problem for a class of iterated Fuchsian partial differential equations. Journal of Mathematical Analysis and Applicationshttps://www.sciencedirect.com/science/article/pii/S0022247X13011517?via%3Dihub

Résumé: In this paper, we consider the Cauchy problem with ramified data for a class of iterated Fuchsian partial differential equations. We give an explicit representation of the solution in terms of Gauss hypergeometric functions. Our results are illustrated through some examples.