Results 11 to 20 of about 341,746 (252)

Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators [PDF]

, 2004
We present a stability theory for kink propagation in chains of coupled oscillators and a new algorithm for the numerical study of kink dynamics.
A. Anderson, A. Carpio, A. Carpio, A. Carpio, A. Carpio, A. Tonnelier, D.A. Kessler, E. Gerde, E. Schrödinger, G. Fáth, J. Bafaluy, J. Bafaluy, J. Frenkel, L.I. Slepyan, L.L. Bonilla, M. Peyrard, M.J. Boussinesq, O. Kresse, O.M. Braun, P. Rosenau, P.C. Bressloff, R. Hobart, S. Flach, V.H. Schmidt, W. Atkinson   +24 more
core   +3 more sources

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
doaj   +1 more source

Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control

Mathematics, 2021
In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations. To guarantee the synchronization and anti-synchronization,
Joel Perez Padron, Jose Paz Perez, José Javier Pérez Díaz, Atilano Martinez Huerta   +3 more
doaj   +1 more source

Stability and Convergence of Product Formulas for Operator Matrices [PDF]

, 2012
We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas.
A. Bátkai, A. Bátkai, A. Bátkai, A. Bátkai, András Bátkai, Bálint Farkas, Ch. Tretter, E. Hairer, I. Faragó, K.J. Engel, Klaus-Jochen Engel, M. Bjørhus, P. Csomós, Petra Csomós, V. Casarino, W. Hundsdorfer   +15 more
core   +2 more sources

Level set approach for fractional mean curvature flows [PDF]

, 2009
This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set.
Imbert, Cyril
core   +2 more sources

Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations

Nonlinear Analysis, 2019
This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps.
Mamadou Abdoul Diop, Amour Toffodji Gbaguidi Amoussou, Carlos Ogouyandjou, Rathinasamy Sakthivel   +3 more
doaj   +1 more source

Finite element approximation of Maxwell’s equations with Debye memory [PDF]

, 2010
Copyright © 2010 Simon Shaw. All rights reserved.This article has been made available through the Brunel Open Access Publishing Fund.Maxwell’s equations in a bounded Debye medium are formulated in terms of the standard partial differential equations of ...
Shaw, S
core   +2 more sources

Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method

Journal of Applied Mathematics, 2015
User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations.
Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Maha Al-Humyani   +3 more
doaj   +1 more source

On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations

Journal of Function Spaces, 2022
This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions.
Mohammed A. Almalahi, Satish K. Panchal, Mohammed S. Abdo, Fahd Jarad   +3 more
doaj   +1 more source

INVESTIGATION OF OSCILLATORY SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS OF SECOND ORDER IN A CRITICAL CASE

Моделирование и анализ информационных систем, 2015
We consider a differential-difference equation of second order of delay type, containing the delay of the function and its derivatives. Such equations occur in the modeling of electronic devices.
E. P. Kubyshkin, A. R. Moryakova
doaj   +1 more source