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Lagrangians and integrability for additive fourth-order difference equations [PDF]

open access: greenThe European Physical Journal Plus, 2020
We use a recently found method to characterise all the invertible fourth-order difference equations linear in the extremal values based on the existence of a discrete Lagrangian.
Giorgio Gubbiotti
semanticscholar   +7 more sources

On convergence of solutions to difference equations with additive perturbations [PDF]

open access: greenJournal of Difference Equations and Applications, 2016
Various types of stabilizing controls lead to a deterministic difference equation with the following property: once the initial value is positive, the solution tends to the unique positive equilibrium.
Elena Braverman, Alexandra Rodkina
semanticscholar   +6 more sources

Is the non-additive kinetic potential always equal to the difference of effective potentials from inverting the Kohn–Sham equation? [PDF]

open access: hybridThe Journal of Chemical Physics, 2022
The relation used frequently in the literature according to which the non-additive kinetic potential which is a functional depending on a pair of electron densities is equal (up to a constant) to the difference of two potentials obtained from inverting ...
Tomasz A. Wesołowski
semanticscholar   +5 more sources

Some representations of the general solution to a difference equation of additive type [PDF]

open access: goldAdvances in Difference Equations, 2019
The general solution to the difference equation xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0,$$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$ where a,b,c∈C$a, b, c\in\mathbb{C}$, d∈
Stevo Stević
semanticscholar   +5 more sources

The Padé interpolation method applied to additive difference Painlevé equations [PDF]

open access: closedLetters in Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hidehito Nagao
semanticscholar   +4 more sources

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

open access: yesBulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +2 more sources

Comparing methods for glomerular filtration rate estimation [PDF]

open access: yesJournal of Clinical and Translational Science
Background: The glomerular filtration rate (GFR), estimated from serum creatinine (SCr), is widely used in clinical practice for kidney function assessment, but SCr-based equations are limited by non-GFR determinants and may introduce inaccuracies across
Xiaoqian Zhu   +7 more
doaj   +2 more sources

Reduced Multiplicative (BURA-MR) and Additive (BURA-AR) Best Uniform Rational Approximation Methods and Algorithms for Fractional Elliptic Equations

open access: yesFractal and Fractional, 2021
Numerical methods for spectral space-fractional elliptic equations are studied. The boundary value problem is defined in a bounded domain of general geometry, Ω⊂Rd, d∈{1,2,3}. Assuming that the finite difference method (FDM) or the finite element method (
Stanislav Harizanov   +4 more
doaj   +2 more sources

Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations

open access: yesAdvances 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 σ(xn−x^)ξn+1 that are ...
Beatrice Paternoster, Leonid Shaikhet
doaj   +3 more sources

The Capacity Gains of Gaussian Channels with Unstable Versus Stable Autoregressive Noise [PDF]

open access: yesEntropy
In this paper, we consider Cover’s and Pombra’s formulation of feedback capacity of additive Gaussian noise (AGN) channels, with jointly Gaussian nonstationary and nonergodic noise.
Charalambos D. Charalambous   +3 more
doaj   +2 more sources

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