Results 41 to 50 of about 601,525 (187)

Zeros of some difference polynomials [PDF]

Advances in Difference Equations, 2013
In this paper, we study zeros of some difference polynomials in f (z) and their shifts, where f (z) is a finite order meromorphic function having deficient value ∞. These results improve previous findings.
Zong-Xuan Chen, Shuangting Lan
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Polynomial quasisolutions of linear differential-difference equations [PDF]

Opuscula Mathematica, 2006
The paper discusses a linear differential-difference equation of neutral type with linear coefficients, when at the initial time moment \(t=0\) the value of the desired function \(x(t)\) is known. The authors are not familiar with any results which would
Valery B. Cherepennikov, Polina G. Ermolaeva   +1 more
doaj  

Polynomial solutions of algebraic difference equations and homogeneous symmetric polynomials

Journal of Symbolic Computation, 2021
This article addresses the problem of computing an upper bound of the degree d of a polynomial solution P(x) of an algebraic difference equation of the form G(x)(P(x−τ1),…,P(x−τs))+G0(x)=0 when such P(x) with the coefficients in a field K of characteristic zero exists and where G is a non-linear s-variable polynomial with coefficients in K[x] and G0 is
Olha Shkaravska, Olha Shkaravska, Marko van Eekelen, Marko van Eekelen   +3 more
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On polynomial solutions of differential equations

, 1992
A general method of obtaining linear differential equations having polynomial solutions is proposed. The method is based on an equivalence of the spectral problem for an element of the universal enveloping algebra of some Lie algebra in the ...
Turbiner, A.
core   +1 more source

On the Polynomial Solution of Divided-Difference Equations of the Hypergeometric Type on Nonuniform Lattices

Axioms, 2019
In this paper, we provide a formal proof of the existence of a polynomial solution of fixed degree for a second-order divided-difference equation of the hypergeometric type on non-uniform lattices, generalizing therefore previous work proving existence ...
Mama Foupouagnigni, Salifou Mboutngam
doaj   +1 more source

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2005
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented.
Hereman, W., Sanders, J. A., Sayers, J., Wang, J. P.   +3 more
core  

Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations

, 2003
A new algorithm is presented to find exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems with parameters, the algorithm determines the conditions on the parameters so that the equations might admit ...
Ablowitz, Ablowitz, Ablowitz, Adler, Adler, Baldwin, Baldwin, Baldwin, Becker, Cherdantsev, Cherdantsev, D. Baldwin, Elmer, Elmer, Fan, Fan, Fan, Fan, Fermi, Hickman, Hirota, Kac, Kajiwara, Levi, Levi, Li, Liu, Maccari, Malfliet, Malfliet, Mikhailov, Mikhailov, Parkes, Ruijsenaars, Shabat, Shabat, Sokolov, Suris, Suris, Suris, Suris, Suris, Svinolupov, Teschl, Toda, W. Hereman, Wang, Wang, Wang, Wittkopf, Yamilov, Yamilov, Ü. Göktaş   +52 more
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Properties of some difference polynomials

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2013
In this article, we investigate some properties of some difference polynomials. The results in this article improve some theorems of Liu and Laine. Several examples are provided to show that our results are best possible.
Liu, Yong, Yi, Hong-Xun
openaire   +3 more sources

The root condition for polynomial of the second order and a spectral stability of finite‐difference schemes for Kuramoto‐Tsuzuki equation

Mathematical Modelling and Analysis, 1998
This paper deals with a root condition for polynomial of the second order. We prove the root criterion for such polynomial with complex coefficients. The criterion coincides with well‐known Hurwitz criterion in the case of real coefficients.
A. Štikonas
doaj   +1 more source

On Computation of Groebner Bases for Linear Difference Systems

, 2005
In this paper we present an algorithm for computing Groebner bases of linear ideals in a difference polynomial ring over a ground difference field. The input difference polynomials generating the ideal are also assumed to be linear.
Bigatti, Blinkov, Chyzak, Gerdt, Gerdt, Mikhalev, Mozzhilkin, Vladimir P. Gerdt   +7 more
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