| title : |
Qualitative study of autonomous systems of difference equations : Submitted in partial fulfilment of the requirements for the degree of Doctorate, 3rd cycle (LMD) |
| Type de document : |
electronic document |
| Auteur : |
Ibtissem, Redjam, Author ; Smail Kaouache (Chairman),Yacine Halim Pro(Supervisor),Mohammed-Salah Abdelouahab(Examiner), Yakoub Boularouk (Examiner),Nouressadat Touafek Prof (Examiner),Soheyb Milles (Examiner),, Author |
| Editeur : |
جامعة عبد الحفيظ بوالصوف ميلة |
| Date de publication : |
2026 |
| Nombre de pages : |
140p. |
| Dimensions : |
PDF |
| Matériel d'accompagnement : |
قرص مضغوط |
| ISBN (ou autre code) : |
D.N51012 |
| Langue : |
English (eng) Langue originale : English (eng) |
| Mots clé : |
Fuzzy difference equations, fuzzy numbers, systems of difference equations, equilibrium points, local stability, asymptotic behavior, rate of convergence. |
| Résumé : |
This dissertation explores several classes of nonlinear difference equations and nonlinear fuzzy difference equations, with a primary emphasis on the qualitative properties of their solutions.
The work begins with a comprehensive study of nonlinear higher-order fuzzy difference equations. Under suitable initial conditions, we prove the existence and uniqueness of positive fuzzy solutions. In addition, we establish conditions ensuring their boundedness, persistence, and convergence to a single equilibrium point. The convergence rate is analyzed, and numerical simulations are provided to support and validate the theoretical results. The concluding part addresses a three-dimensional nonlinear system of difference
equations involving arbitrary constants and non-identical parameters. By performing a linearization around its equilibrium, we investigate the local dynamics and derive sufficient criteria for asymptotic stability. Moreover, it is shown that the solutions
may exhibit oscillatory, bounded, or persistent behaviors depending on the parameter
choices and initial conditions. |
| Lien vers la ressource électronique : |
https://syngeb.univ-mila.dz/fr/opac/result_details/949862 |
Qualitative study of autonomous systems of difference equations : Submitted in partial fulfilment of the requirements for the degree of Doctorate, 3rd cycle (LMD) [electronic document] / Ibtissem, Redjam, Author ; Smail Kaouache (Chairman),Yacine Halim Pro(Supervisor),Mohammed-Salah Abdelouahab(Examiner), Yakoub Boularouk (Examiner),Nouressadat Touafek Prof (Examiner),Soheyb Milles (Examiner),, Author . - جامعة عبد الحفيظ بوالصوف ميلة, 2026 . - 140p. ; PDF + قرص مضغوط. ISSN : D.N51012 Langue : English ( eng) Langue originale : English ( eng)
| Mots clé : |
Fuzzy difference equations, fuzzy numbers, systems of difference equations, equilibrium points, local stability, asymptotic behavior, rate of convergence. |
| Résumé : |
This dissertation explores several classes of nonlinear difference equations and nonlinear fuzzy difference equations, with a primary emphasis on the qualitative properties of their solutions.
The work begins with a comprehensive study of nonlinear higher-order fuzzy difference equations. Under suitable initial conditions, we prove the existence and uniqueness of positive fuzzy solutions. In addition, we establish conditions ensuring their boundedness, persistence, and convergence to a single equilibrium point. The convergence rate is analyzed, and numerical simulations are provided to support and validate the theoretical results. The concluding part addresses a three-dimensional nonlinear system of difference
equations involving arbitrary constants and non-identical parameters. By performing a linearization around its equilibrium, we investigate the local dynamics and derive sufficient criteria for asymptotic stability. Moreover, it is shown that the solutions
may exhibit oscillatory, bounded, or persistent behaviors depending on the parameter
choices and initial conditions. |
| Lien vers la ressource électronique : |
https://syngeb.univ-mila.dz/fr/opac/result_details/949862 |
|
Affiner la recherche Interroger des sources externes
