The intention of this memoir is to analyze the relationship between the dynamics of limit cycles in planar di¤erential systems ( _ x = P (x; y) _ y = Q (x; y)) and the analytical properties of generalized Riccati equations. ...
In this work, we consider the limit cycles of a class of polynomial differential systems of the form {<K1.1/>┊ <K1.1 ilk="MATRIX" > u=v-ε(g₁¹(u)+f₁¹(u)v)-ε²(g₁²(u)+f₁²(u)v), v=-u-ε(g₂¹(u)+f₂¹(u)v)-ε²(g₂²(u)+f₂²(u)v), ...
BELHIRECHE, Nor el houda(University of Guelma, 2025)
n this thesis, we study a particular class of nonlinear Volterra integrodifferential equations with delay. Such equations are used to model dynamic phenomena that depend on the system’s history as well as a delayed term. ...
BENABDELHAFID, BOUTHEYNA(University of Guelma, 2025)
This study employs the one-dimensional shooting method to numerically solve a boundary value problem (BVP) governed by an ordinary differential equation (ODE). Such BVPs arise in diverse scientific and engineering domains, ...
MENASRIA, ABDEL MAMOUNE(University of Guelma, 2025)
This thesis focuses on the existence and mass concentration behavior of minimizers for rotating Bose-Einstein condensates (BEC) with attractive interactions in a bounded domain D⊂R^ 2 . It is shown that there exists a ...
This thesis presents a novel numerical approach for solving nonlinear Fredholm integro-differential equations involving both the unknown function and its derivative. The proposed method combines the backward finite difference ...
In this work, we investigate the controllability of a class of fractional systems in the Ψ-Caputo
sense with nonlocal initial conditions.
First, we establish the existence and uniqueness of solutions by applying the ...
This thesis falls within the framework of studying fractional differential equations.
This subject was inspired by the work of A. Berhail, N. Tabouche, M.M. Matar and J.
Alzabut, article [9] on which Belaadi, and Benkamouche ...
This work focuses on modeling the movement of air while accounting for the condensation of water vapor, using equations derived from fluid mechanics. These equations are nonlinear and generally do not admitanalytical ...
The aim of this thesis is to solve some ordinary and fractional differential
equations using the Laplace transformation associated with fractional calculus.
Keywords: Fractional calculus, fractional derivative for ...
Fractional delay differential equations constitute a powerful mathematical framework
for modeling complex dynamical phenomena exhibiting memory and delay effects. In
this study, we investigate a class of fractional delay ...
The objective of this work is to establish the existence, the uniqueness and the positivity of a solution for a boundary value problem generated by differential equation of third order, using the Leray-Schauder nonlinear ...
CHAIB Mohammed, Yahiaoui Achraf(University of Guelma, 2025)
The detection and classification of plastic waste have become critical priorities amid escalating environmental
concerns, particularly in aquatic and terrestrial ecosystems. Conventional imaging and manual inspection
techniques ...
In this thesis, we aim to conduct analytical and approximate (numerical) studies on higher-order partial differential equations.
In the first work, we investigate a class of nonlinear parabolic integro-differential equations ...
Les EDP évolutives sont considérées comme l'un des piliers fondamentaux des mathématiques modernes. Cette thèse contient, dans sa première partie, une étude numérique d'une équation non linéaire parabolique d'ordre supérieur ...
يعتمد عملنا على تعريف جديد لشبه الطيف المعمم، تم تقديمه لأول مرة في مخبر الرياضيات التطبيقية والنمذجة (LMAM)، بهدف إيجاد حل جديد لمشكلة التلوث الطيفي. بعد وضع التعريفات والأسس الأولية، كان هدفنا تطوير نظرية أساسية حول تقارب ...