• Control methods for inverse problems 

  ALI, Linda (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  In this memory, we have made a detailed study of the inverse problem and in particular the observation problem and analyzed an epidemiological model of the type SIS using optimal con- trol methods with the aim of ...
• A common fixed point theorem and its application in dynamic programming 

  CHENIKHAR, Safa (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  This master’s thesis establishes a significant common fixed point theorem for four self-mappings defined on complete metric spaces, under the assumptions of weak compatibility and a gener- alized Φ-contraction condition. ...
• Limitit cycles for certain differential systems formed by hamiltonian systems 

  MOUELLAH, Boumediene (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  In this work, we show a new way of using the averaging theory of first order for studying families of periodic orbits in the extension of the Van der Pol oscillator to a Hamiltonian system of the form (1 ) , 2 , (1 ...
• Mathematical Analysis of double-age structured model 

  BELGHIT, Malak (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06)

  This thesis highlights the importance of age-structured mathematical models in understanding the behavior of complex infectious diseases. The studied model illustrates how temporal factors such as biological age and ...
• Existence of positive solutions for double-phase problem 

  NECIB, Meraya (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  In this work, we discuss the existence of positive solutions of a class of differential equations called double phase with Dirichlet condition, that involves both a singular and a superlinear parametric term, posed by ...
• Synchronization of Chaos in Discrete Dynamical Systems 

  RADJAI, Abdelbari (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  The objective of this thesis is to present the problem of chaos synchronization. More specifically, we are interested in the synchronization of discrete nonlinear dynamical sys- tems, whose formulations are given by ...
• Reproducing Kernel Hilbert Space Method For Solving Fractional Integro-Differential Systems 

  KRAIDIA, Isra (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  This dissertation develops an efficient numerical method for solving fractional integro differential systems involving the Caputo fractional derivative. The proposed approach employs the Reproducing Kernel Hilbert Space ...
• On the stability of the willamowsky-Rossler chaotic reaction diffusion model 

  SLIMI, Karima (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  The study of dynamical systems is a fundamental topic in the natural and engineering sciences, contributing to understanding the behavior of complex systems and analyzing their stability. In this study, we will analyze ...
• Methods for studying blow-up phenomena in differential equations 

  LASSOUED, Hamza (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-03)

  This thesis investigates the dynamics of a coupled nonlinear wave system with internal fractional damping, a model relevant to viscoelastic materials and engineering ap- plications. The study focuses on two key aspects: ...
• General decay for a viscoelastic wave equation of the Kirchhoff type with delay 

  MESLOUB, Ikram (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  The main goal of this thesis is studing the Asymptotic behavior of solutions to a vis- coelastic Kirchhoff-type plate equation with memory and delay terms, under classical initial and boundary conditions.first we present ...
• Chaos and Bifurcations in some Zeraoulia-Sprott mappings 

  HABHOUB, Nassima (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  The main goal of this thesis is to investigate different kinds of bifurcations in some 2-D Zeraoulia-Sprott chaotic discrete mappings. It exoplores the normal form of these systems, the various kinds of bifurcations, ...
• On the Drazin inverse and generalized Drazin inverse of an operator and its applications 

  FAR, Aya (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  This thesis aims to study the Drazin inverse of bounded linear operators in Banach spaces, focusing on its algebraic and spectral properties, as well as its applications in solving differential equations and linear ...
• Asymptotic stability and explosion of solutions for a class of hyperbolic problem with delay time. 

  SLIMANI, Ouidad (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02)

  In this work, we investigated the stability of solutions using the energy method, and finite time blow-up of solutions through a direct approach based on Lyapunov functionals, for certain classes of nonlinear evolution ...
• Acceleration of the convergence of the gradient method by using the conjugate gradient 

  BAHI, Amina (University Larbi Tébessi – Tébessa, 2024-06-09)

  The conjugate gradient method is considered one of the most important methods used to speed up the gradient algorithm, for this purpose, several related algorithms have been developed. We will present a new method that ...
• STUDY OF EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS OF SOME SYSTEMS AND PARTIAL DIFFERENTIAL EQUATIONS 

  SAKHER, Ilham (University Larbi Tébessi – Tébessa, 2024-06-09)

  In this work we are concerned to prove the existence, uniqueness and the continuous dependance of a strong solution upon the data of some mixed problems with classical ( Dirichlet, Neumann) and integral conditions for ...
• Stability Results of a Coupled Wave Equations With Time Delay 

  ZERDOUMI, Nabila (University Larbi Tébessi – Tébessa, 2024-06-09)

  The aim of this work is to give a results related to locally coupled wave equations with non- smooth localized viscoelastic damping of Kelvin-Voigt type and localized time delay (studied by Mohammad Akil et al[1]). The ...
• On some q-transformations 

  AZRI, Dhia Eddine (University Larbi Tébessi – Tébessa, 2024-06-08)

  This dissertation deals with the most important definitions and mathematical prop- erties of q-calculus, such as quantum derivative and Jackson integration, in addition to formulating quantum transformations such as ...
• Classical Numbers defined by Generating functions 

  BRAHMI, Chihab Eddine (University Larbi Tébessi – Tébessa, 2024-06-08)

  The main object of this dissertation is to investigate some classical numbers using the corresponding Generating functions .For each sequence included in this dissertation, we shall provide an overview About its ...
• Study of existence and uniqueness of the solution of a class of linear and semi-linear equations 

  SAIDANI, Mohammed (University Larbi Tébessi – Tébessa, 2024-06-08)

  This memoir aims to study two cases of general mixed problems with integral con- ditions, both classical and non-local. The memoir begins with an introduction providing background and interest in the addressed topic, ...
• Etude analytique et numérique de l’équation intégrale non standard de Volterra 

  LOUAFI, Lamia (Université Echahid Chikh Larbi Tébessi -Tébessa, 2024-06-08)

  Les équations intégrales de Fredholm et de Volterra jouent un rôle essentiel dans les branches mathématiques à cause de leurs applications dans les divers domaines scientifiques. Pour cette raison, dans ce mémoire on ...

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