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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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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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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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Algorithms for 2-solvable difference equations
Journal of Symbolic ComputationOur paper "Solving Third Order Linear Difference Equations in Terms of Second Order Equations" gave two algorithms for solving difference equations in terms of lower order equations: an algorithm for absolute factorization, and an algorithm for solving third order equations in terms of second order.
Heba Bou Kaedbey, Mark van Hoeij
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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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Polytropic stars in Palatini gravity
European Physical Journal C: Particles and Fields, 2019 We have derived a modified Lane–Emden equation for the Starobinsky model in Palatini gravity which is numerically solvable. Comparing the results to the ones provided by General Relativity we observe a significant difference depending on the theory ...
Aneta Wojnar
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Solvability and Dynamical Analysis of Difference Equations
International Journal of Analysis and Applications, 2023 We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss the periodic nature of the solutions and analyze the stability of the fixed points.
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On a solvable three-dimensional system of difference equations [PDF]
Filomat, 2020 In this paper, we show that the following three-dimensional system of difference equations xn = zn-2xn-3/axn-3 + byn-1, yn = xn-2yn-3/cyn-3 + dzn-1, zn = yn-2zn-3/ezn-3+ fxn-1, n ? N0, where the parameters a, b, c, d, e, f and the initial values x-i, y-i, z-i, i ? {1, 2, 3}, are real numbers, can be solved, extending further some results in
Kara, Merve, Yazlık, Yasin
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FEBS Letters, EarlyView.In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
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