Results 31 to 40 of about 13,830,771 (328)
Zero distribution of polynomials satisfying a differential-difference equation [PDF]
, 2013 In this paper we investigate the asymptotic distribution of the zeros of polynomials $P_{n}(x)$ satisfying a first order differential-difference equation.
Dominici, Diego, Van Assche, Walter
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On a Higher-Order Difference Equation
Discrete Dynamics in Nature and Society, 2010 We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation xn=cxn−pxn−p−q/xn−q, n∈ℕ0, where p,q∈ℕ and c>0, extending some recent results in the literature.
Bratislav D. Iričanin, Wanping Liu
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We introduce notion of a generalized invariant for difference equations, which naturally generalizes notion of an invariant for the equations. Some motivations, basic examples and methods for application of invariants in the theory of solvability of ...
Stevo Stevic
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AIMS Mathematics, 2023 We give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an ...
Stevo Stević
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Existence of meromorphic solutions of first order difference equations [PDF]
, 2018 It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag{\dag} \end{equation} where $R(z,f)$ is rational in $f$ with meromorphic coefficients and $\deg_f(R(z,f))=n$, has an admissible meromorphic solution ...
Korhonen, Risto, Zhang, Yueyang
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Well-posedness of difference elliptic equation
Discrete Dynamics in Nature and Society, 1997 The exact with respect to step h∈(0,1] coercive inequality for solutions in Ch of difference elliptic equation is established.
Pavel E. Sobolevskii
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On a Difference-Delay Equation
Journal of Mathematical Analysis and Applications, 2000 AbstractWe investigate how the behaviour, especially at ±∞, of continuous real solutions f(t) to the equation f(t)=a1f(t+h1)+a2f(t−h2), where a1,a2,h1,h2 are positive real constants, depends on the values of these parameters. Definitive answers are given, except in certain cases when h1/h2 is rational.
Adam Ostaszewski, Roy O. Davies
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Meromorphic solutions of three certain types of non-linear difference equations
AIMS Mathematics, 2021 In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form $ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $ $ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $ and $
Min Feng Chen +2 more
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Differential-difference equations reducible to difference and q-difference equations
Computers & Mathematics with Applications, 2001 AbstractThe paper considers quasi-nonliner differential-difference equations (DDE) of the form which is a representative example of so-called completely integrable DDEs (i.e., DDEs that are reducible to functional equations). This equation is shown to exhibit the “nonstandard” (from the viewpoint of differential equations theory) behavior of solutions.
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On the dynamics of a five-order fuzzy difference equation
, 2017 Our aim in this paper is to investigate the existence and uniqueness of the positive solutions and the asymptotic behavior of the equilibrium points of the fuzzy difference equation xn+1 = Axn−1xn−2 D+Bxn−3 +Cxn−4 , n = 0, 1, 2, · · · , where xn is a ...
Changyou Wang +4 more
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