Results 31 to 40 of about 79 (78)

Energy Decay of the Schrödinger Equation Under Internal Fractional Integral Damping

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigate the stabilization and energy decay properties of a Schrödinger equation with an internal fractional integral damping term. By introducing an appropriate diffusive representation, the original problem is reformulated as an augmented system without memory.
Kheira Mekhalfi, Amina Chaili, Abderrahmane Beniani, Khaled Zennir, Keltoum Bouhali, Dalal Alhwikem, Smritijit Sen   +6 more
wiley   +1 more source

Razumikhin′s method in the qualitative theory of processes with delay

International Journal of Stochastic Analysis, Volume 8, Issue 3, Page 233-247, 1995., 1995
B.S. Razumikhin′s concept in the qualitative theory of systems delay is clarified and discussed. Various ways of improvements of stability conditions are considered. The author shows that the guiding role of Lyapunov functions and demonstrates Razumikhin′s method as a practical case of continuous version of the mathematical induction.
Anatoly D. Myshkis
wiley   +1 more source

Mathematical model on influence of past experiences on present activities of human brain

Computational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara, Ratnam K. Venkata, Shirisha G.   +2 more
doaj   +1 more source

Dynamical, Stability, and Bifurcation of a Viral Model With General Cell‐to‐Cell Incidence Rate and Delayed Saturated CTL Immunity

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we propose a viral model with cell‐to‐cell propagation, delayed saturated CTL immunity, and general incidence rate. Two biological threshold parameters, namely, the basic reproductive number R0 and the CTL immune reproductive number R1, are derived.
Mouhcine Naim, May M. Helal, Rasha M. Yaseen, Ahmed A. Mohsen, Theodore Simos   +4 more
wiley   +1 more source

Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 103-112, 1994., 1993
Time‐invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one‐shot construction of a Lyapunov function, for asymptotic stability of a compact invariant set and for the exact determination of the asymptotic stability domain of the invariant set ...
Ljubomir T. Grujic
wiley   +1 more source

Neural network quaternion-based controller for port-Hamiltonian system

Demonstratio Mathematica
In this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E., Serrano Fernando E., Batrancea Larissa M.   +2 more
doaj   +1 more source

Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold

Advances in Nonlinear Analysis, 2018
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2⁢π⁢7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia, Chu Jixun, Shang Peipei, Coron Jean-Michel   +3 more
doaj   +1 more source

Strong Stability of a Delayed Viscoelastic Timoshenko System With Fractional Time Delay and Two Fractional Boundary Controls

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The strong stability of the Timoshenko beam in viscoelastic systems with a fractional time delay and fractional boundary controls is a complex yet fascinating area of study. This work aims to investigate a mathematical model wherein nontrivial methods are used to solve for both quantitative and qualitative properties.
M. Bouariba Sadoun, A. Benaissa Cherif, R. Bentifour, S. M. Mirgani, M. B. Jeelani, K. Zennir, Mohamed A. Eltaher   +6 more
wiley   +1 more source

Solutions to Lyapunov stability problems: nonlinear systems with continuous motions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 587-596, 1994., 1992
The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o‐uniquely bounded sets, which
Ljubomir T. Grujić
wiley   +1 more source

Energy decay of a coupled system involving a biharmonic Schrödinger equation with an internal fractional damping

Demonstratio Mathematica
In this work, we investigate the stabilization problem for coupled biharmonic Schrödinger equations with fractional internal damping. First, we establish that the system is well-posed using the semigroup theory of linear operators. Second, we demonstrate
Mtiri Foued, Chaili Amina, Bchatnia Ahmed, Beniani Abderrahmane   +3 more
doaj   +1 more source