I Daira, A Ardjouni - Boletín de la Sociedad Matemática Mexicana, 2023 - Springer
In the present manuscript, we discuss the Ulam stability of dynamic equations on time scales. We get some stability requirements using a fixed point alternative on complete …
B Bordj, A Ardjouni - Mathematics in Engineering, Science & …, 2022 - search.ebscohost.com
In this paper, we use the Gustafson and Schmitt version of a fixed point theorem in a cone to show the existence of positive periodic solutions for nonlinear dynamic systems with discrete …
I Daira, A Ardjouni - Advanced Studies: Euro-Tbilisi Mathematical …, 2024 - projecteuclid.org
In this manuscript, we investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra delay dynamic system on time scales. By using Krasnoselskii's fixed point …
Time scales calculus was initiated in 1988 by Stefan Hilger. It bridges the gap between continuous and discrete analysis and expands on both theories. Differential equations are …
A Guerfi, A Ardjouni - Malaya Journal of Matematik, 2020 - malayajournal.org
Periodic solutions of almost linear Volterra integro-dynamic systems Page 1 Malaya Journal of Matematik, Vol. 8, No. 4, 1427-1433, 2020 https://doi.org/10.26637/MJM0804/0015 Periodic …
This thesis focuses on examining the periodicity, positivity, and stability of solutions for specific delay dynamic equations on time scales. To achieve this, we initially introduce …
In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point …
In this manuscript, we study the positivity and periodicity of solutions for a nonlinear impulsive distributed delay Lotka# Volterra dynamic system on time scales. We provide suffi …
In this thesis, we study qualitative properties of broad classes of nonlinear delay dynamic and delay integro-dynamic equations. We start by giving some fixed point theorems, results …