Results 31 to 40 of about 4,153,672 (273)
Two ways for solving a class of rational second-order difference equations
Advances in Difference Equations, 2019 We consider a class of second-order rational difference equations with two parameters, and we show, in two ways, that the class of equations is solvable in closed form. One way is based on using an invariant for the class of equations, whereas the second
Stevo Stević
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Journal of Inequalities and Applications, 2021 There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied.
Stevo Stević +3 more
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Mathematics, 2022 In this work, we study the bifurcation and the numerical analysis of the nonlinear Benjamin-Bona-Mahony-KdV equation. According to the bifurcation theory of a dynamic system, the various kinds of traveling wave profiles are obtained including the ...
Teeranush Suebcharoen +2 more
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Solvability of Implicit Difference Equations
, 2015 This article concerns sufficient conditions for the solvability of implicit difference equations. These are cast in a very general framework that relies on the α-covering and Lipschitz properties of the implicit recursive map with respect relatively to the first and second arguments.
Arutyunov A., Pereira F., Zhukovskiy S.
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Energy Reports, 2020 We propose a simple but non-trivial mathematical model of a dam–reservoir system balancing between the downstream environmental management and hydropower production.
Hidekazu Yoshioka
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Global stability of a class of difference equations on solvable Lie algebras [PDF]
Mathematics of Control, Signals, and Systems, 2020 Motivated by the ubiquitous sampled-data setup in applied control, we examine the stability of a class of difference equations that arises by sampling a right- or left-invariant flow on a matrix Lie group. The map defining such a difference equation has three key properties that facilitate our analysis: 1) its power series expansion enjoys a type of ...
Philip James McCarthy +1 more
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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ON THE DIFFERENCE EQUATION ASSOCIATED WITH THE DOUBLY PERIODIC GROUP AND ITS APPLICATIONS
Проблемы анализа, 2020 Let D be a rectangle. We consider a four-element linear difference equation defined on D. The shifts of this equation are the generating transformations of the corresponding doubly periodic group and their inverse transformations.
F. N. Garif’yanov, E. V. Strezhneva
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Note on the binomial partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevo Stevic
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Qualitative stability and solvability of difference equations [PDF]
Linear and Multilinear Algebra, 1991 We develop sufficient conditions for qualitative stability and solvability of the real discrete time system xt+ 1 = Axi + b. These conditions are a combination of qualitative and quantitative criteria and depend on signed digraphs.
Clark Jeffries, P. van den Driessche
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