On a three-dimensional system of difference equations with variable coefficients [PDF]
, 2021 Consider the three-dimensional system of difference equations xn+1 = ∏k j=0 zn−3j ∏k j=1 xn−(3j−1) ( an + bn ∏k j=0 zn−3j ), yn+1 = ∏k j=0 xn−3j ∏k j=1 yn−(3j−1) ( cn + dn ∏k j=0 xn−3j ), zn+1 = ∏k j=0 yn−3j ∏k j=1 zn−(3j−1) ( en +
Nouressadat, Touafek +3 more
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Results on the deficiencies of some differential-difference polynomials of meromorphic functions
Open Mathematics, 2016 In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
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A class of nonlinear perturbed difference equations
, 2018 In this paper we study a class of nonlinear singularly perturbed difference equations with boundary value conditions. Provide that the singular perturbation parameter is small enough, we give sufficient conditions to guarantee the existence and ...
Tahia Zerizer
semanticscholar +1 more source
Inner products involving differences: The Meixner-Sobolev polynomials [PDF]
, 2000 31 pages, no figures.-- MSC2000 codes: 33C45, 33D45, 39A10, 39A70, 42C05.MR#: MR1752153 (2000m:33006)Zbl#: Zbl 0948.33004In this paper, polynomials which are orthogonal with respect to the inner product $$\langle p,q\rangle_S= \sum infty_{s=0} p(s)q(s) {\
Marcellán, Francisco +3 more
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The existence of solutions to certain type of nonlinear difference-differential equations
Open Mathematics, 2018 In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran +3 more
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On the solutions of some nonlinear systems of difference equations
, 2013 In this paper, we deal with the existence of solutions and the periodicity character of the following systems of rational difference equations with order three: xn+1=xnyn−2yn−1(±1±xnyn−2),yn+1=ynxn−2xn−1(±1±ynxn−2), where the initial conditions x−2, x ...
E. Elsayed, H. El-Metwally
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Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations with Applications to Cell Biology [PDF]
, 2006 Mathematics Subject Classification: 65C05, 60G50, 39A10, 92C37In this paper the multi-dimensional Monte-Carlo random walk simulation models governed by distributed fractional order differential equations (DODEs) and multi-term fractional order ...
Steinberg, Stanly +2 more
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Asymptotically polynomial solutions of difference equations
, 2013 Asymptotic properties of solutions of a difference equation of the form Δmxn=anf(n,xσ(n))+bn are studied. We present sufficient conditions under which, for any polynomial φ(n) of degree at most m−1 and for any real s≤0, there exists a solution x of the
Janusz Migda
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New oscillation results for second-order neutral delay dynamic equations
Advances in Differential Equations, 2012 This paper is concerned with oscillatory behavior of a certain class of second-order neutral delay dynamic equations (r(t)[x(t)+p(t)x(τ(t))]Δ)Δ+q(t)x(δ(t))=0, on a time scale T with supT=∞, where 0≤p(t ...
Cheng-Hui Zhang +3 more
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A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation?
, 2015 . The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretization method.
Tetsu Yajima +3 more
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