Stability analysis of a certain class of difference equations by using KAM theory [PDF]
Advances in Difference Equations, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Senada Kalabušić +3 more
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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
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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
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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
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NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
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Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations
Advances in Difference Equations, 2008 It is supposed that the fractional difference equation xn+1=(μ+∑j=0kajxn−j)/(λ+∑j=0kbjxn−j), n=0,1,…, has an equilibrium point x^ and is exposed to additive stochastic perturbations type of Ã(xn−x^)ξn+1 that are ...
Beatrice Paternoster, Leonid Shaikhet
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Modification of theory A.R. Rzhanitsyn in analysis of multilayer composite beams [PDF]
E3S Web of Conferences, 2023 The article proposes the development of a numerical method for calculating multilayer beams, based on the theory of composite rods by A.R. Rzhanitsyn.
Filatov Vladimir +2 more
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Bifurcations in a Plant-Pollinator Model with Multiple Delays
Journal of Mathematics, 2023 The plant-pollinator model is a common model widely researched by scholars in population dynamics. In fact, its complex dynamical behaviors are universally and simply expressed as a class of delay differential-difference equations.
Long Li +3 more
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Phase-Space Modeling and Control of Robots in the Screw Theory Framework Using Geometric Algebra
Mathematics, 2023 The following paper talks about the dynamic modeling and control of robot manipulators using Hamilton’s equations in the screw theory framework. The difference between the proposed work with diverse methods in the literature is the ease of obtaining the ...
Jesús Alfonso Medrano-Hermosillo +3 more
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Functional differential equations—a reciprocity principle
International Journal of Mathematics and Mathematical Sciences, 1986 The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
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