Results 21 to 30 of about 637,963 (247)

Control of a Time Delay System Arising From Linearized Conservation Laws

IEEE Access, 2019
A structure of energy cogeneration with distributed parameters is considered, modeled by an initial boundary value problem for hyperbolic conservation laws with a nonlinear and nonstandard boundary condition.
Daniela Danciu, Dan Popescu, Vladimir Rasvan   +2 more
doaj   +1 more source

Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]

, 2006
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
core   +1 more source

Halanay type inequalities on time scales with applications

, 2011
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
core   +1 more source

Numerical loop quantum cosmology: an overview [PDF]

, 2012
A brief review of various numerical techniques used in loop quantum cosmology and results is presented. These include the way extensive numerical simulations shed insights on the resolution of classical singularities, resulting in the key prediction of ...
Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A Pawlowski T Singh P, Ashtekar A Schilling T, Berger B K, Bojowald M, Bojowald M, Bojowald M, Brizuela D, Brizuela D, Cartin D, Cartin D Khanna G, Connors S, Corichi A Montoya E, Craig D, Craig D Singh P, Diener P Gupt B Singh P, Garfinkle D, Husain V, Khanna G, Marolf D, Martin-Benito M Garay L J Marugan G A M Wilson-Ewing E, Meissner K A, Modesto L, Nelson W Agullo I Ashtekar A, Parampreet Singh, Rosen J, Rovelli C, Sabharwal S, Schilling T, See for example Tsujikawa S, Singh P, Singh P Taveras V, Szulc L, Szulc L, Thomas J W, Varadarajan M, Willis J, Wilson-Ewing E   +41 more
core   +3 more sources

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

Unsolved problem about stability of stochastic difference equations with continuous time and distributed delay

Modern Stochastics: Theory and Applications
Despite the fact that the theory of stability of continuous-time difference equations has a long history, is well developed and very popular in research, there is a simple and clearly formulated problem about the stability of stochastic difference ...
Leonid Shaikhet
doaj   +1 more source

An exponentially fitted finite difference scheme for a class of singularly perturbed delay differential equations with large delays

Ain Shams Engineering Journal, 2017
This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy, S. Dinesh Kumar, R. Nageshwar Rao   +2 more
doaj   +1 more source

Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame

Journal of Low Frequency Noise, Vibration and Active Control, 2021
In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system.
Xueliang Zhang, Wenchao Hu, Zhiguo Gao, Yunshan Liu, Bang-Chun Wen   +4 more
doaj   +1 more source

Stability theory for difference approximations of some dispersive shallow water equations and application to thin film flows

, 2013
In this paper, we study the stability of various difference approximations of the Euler-Korteweg equations. This system of evolution PDEs is a classical isentropic Euler system perturbed by a dispersive (third order) term. The Euler equations are discretized with a classical scheme (e.g.
Noble, Pascal, Vila, Jean-Paul
openaire   +2 more sources

Inverse-Positive Matrices and Stability Properties of Linear Stochastic Difference Equations with Aftereffect

Mathematics
This article examines the stability properties of linear stochastic difference equations with delays. For this purpose, a novel approach is used that combines the theory of inverse-positive matrices and the asymptotic methods developed by N.V.
Arcady Ponosov, Ramazan I. Kadiev
doaj   +1 more source