Results 1 to 10 of about 636,628 (132)
Stability theory for some scalar finite difference schemes: validity of the modified equations approach* [PDF]
ESAIM: Proceedings and Surveys, 2021 In this paper, we discuss some limitations of the modified equations approach as a tool for stability analysis for a class of explicit linear schemes to scalar partial differential equations. We show that the infinite series obtained by Fourier transform
Dhaouadi Firas +3 more
doaj +3 more sources
Stability Analysis for a Class of Stochastic Differential Equations with Impulses
Mathematics, 2023 This paper is concerned with the problem of asymptotic stability for a class of stochastic differential equations with impulsive effects. A sufficient criterion on asymptotic stability is derived for such impulsive stochastic differential equations via ...
Mingli Xia +3 more
doaj +1 more source
Stability Theory and Adjoint Operators for Linear Differential-Difference Equations [PDF]
Transactions of the American Mathematical Society, 1959 Abstract : This paper extends to linear differential-difference equations a number of results familiar in the stability theory of ordinary linear differential equations. In this theory, one considers a system of equations of the form (1) dx/dt = A(t)x, x(0) = c, where t is a real variable, x is a column vector with n rows, and A(t) is an n- by -n ...
Bellman, Richard, Cooke, Kenneth L.
openaire +2 more sources
Nonlocal Problems for Hilfer Fractional q-Difference Equations
Fractal and Fractional, 2023 In the paper, we investigate a kind of Hilfer fractional q-difference equations with nonlocal condition. Firstly, the existence and uniqueness results of solutions are obtained by using topological degree theory and Banach fixed point theorem ...
Chunping Tian, Haibo Gu, Zunkai Yang
doaj +1 more source
Some Unsolved Problems in Stability and Optimal Control Theory of Stochastic Systems
Mathematics, 2022 In spite of the fact that the theory of stability and optimal control for different types of stochastic systems is well developed and very popular in research, there are some simply and clearly formulated problems, solutions of which have not been found ...
Leonid Shaikhet
doaj +1 more source
Stability Theory for Difference Approximations of Euler--Korteweg Equations and Application to Thin Film Flows [PDF]
SIAM Journal on Numerical Analysis, 2014 We study the stability of various difference approximations of the Euler--Korteweg equations. This system of evolutionary 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., Roe, Rusanov, or Lax--Friedrichs scheme), whereas the dispersive term is ...
Noble, Pascal, Vila, Jean-Paul
openaire +3 more sources
Journal of Low Frequency Noise, Vibration and Active Control, 2021 A new dynamical model with five rigid frames (RFs), driven by two counter-rotating exciters, is proposed to explore the synchronization, stability, and motion characteristics of the system in this paper.
Wenchao Hu +4 more
doaj +1 more source
On Correctness of Cauchy problem for a Polynomial Difference Operator with Constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2018 The theory of linear difference equations is applied in various areas of ma\-the\-matics and in the one-dimensional case is quite established. For $n>1$, the situation is much more difficult and even for the constant coefficients a general description of
M. S. Apanovich, E.K. Leinartas
doaj +1 more source
Open Mathematics, 2023 This article presents an approximation of discrete Markov decision processes with small noise on Borel spaces with an infinite horizon and an expected total discounted cost by the corresponding deterministic Markov process.
Portillo-Ramírez Gustavo +3 more
doaj +1 more source
Scalar Wave Equation Modeling with Time-Space Domain Dispersion-Relation-Based Staggered-Grid Finite-Difference Schemes [PDF]
, 2011 The staggered-grid finite-difference (SFD) method is widely used in numerical modeling of wave equations. Conventional SFD stencils for spatial derivatives are usually designed in the space domain.
Liu, Yang, Sen, Mrinal K.
core +2 more sources