Results 11 to 20 of about 1,713 (207)
Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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Conservative Linear Difference Scheme for Rosenau-KdV Equation
Advances in Mathematical Physics, 2013 A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well.
Jinsong Hu, Youcai Xu, Bing Hu
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The linear difference-differential equation with linear coefficients [PDF]
Transactions of the American Mathematical Society, 1955 v(x) a known function, and a;, a', any numbers (real or complex) such that ainn O and a' l/amn is either nonreal or positive. This equation is a particular case of the general linear equation (see Wright [7]), where the coefficient au,^x+ac4 in (1.1) is replaced by a known function A,,(x), and also of the linear equation with asymptotically constant ...
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Oscillation properties for a scalar linear difference equation of mixed type [PDF]
Mathematica Bohemica, 2016 The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type \Delta x(n)+\sum_{k=-p}^qa_k(n)x(n+k)=0,\quad n>n_0, where $\Delta x(n)=x(n+1)-x(n)$ is the difference operator and $\{a_k(n)\}$ are ...
Leonid Berezansky, Sandra Pinelas
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Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
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Finite difference schemes for linear advection equation solving under generalized approximation condition [PDF]
Компьютерные исследования и моделирование, 2018 A set of implicit difference schemes on the five-pointwise stensil is under construction. The analysis of properties of difference schemes is carried out in a space of undetermined coefficients. The spaces were introduced for the first time by A.
Alexey I. Lobanov
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Relative Controllability of Linear Difference Equations [PDF]
SIAM Journal on Control and Optimization, 2017 In this paper, we study the relative controllability of linear difference equations with multiple delays in the state by using a suitable formula for the solutions of such systems in terms of their initial conditions, their control inputs, and some matrix-valued coefficients obtained recursively from the matrices defining the system.
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Variational Bayesian Iterative Estimation Algorithm for Linear Difference Equation Systems
Mathematics, 2019 Many basic laws of physics or chemistry can be written in the form of differential equations. With the development of digital signals and computer technology, the research on discrete models has received more and more attention.
Junxia Ma +3 more
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The Samuelson macroeconomic model as a singular linear matrix difference equation
Journal of Economic Structures, 2020 In this paper, we revisit the famous classical Samuelson’s multiplier–accelerator model for national economy. We reform this model into a singular discrete time system and study its solutions.
Fernando Ortega, Maria Filomena Barros
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A boundary value problem for a non-linear difference equation [PDF]
Archives of Control SciencesA boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem.
Mario Lefebvre
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