共查询到18条相似文献,搜索用时 78 毫秒
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高凌云 《数学年刊A辑(中文版)》2017,38(1):023-30
作者主要研究了一类复微分-差分方程组的有限级整函数解,得到了一有趣的结果,将复微分(或差分)方程中相关结果推广至复微分-差分方程组中. 相似文献
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两类复微分-差分方程组的整函数解 总被引:1,自引:0,他引:1
利用Nevanlinna值分布理论以及复差分和复微分理论,讨论了两类复微分-差分方程组的有限级超越整函数解问题,得到了两个结果,并将涉及微分或差分方程的某些结果推广至复微分-差分方程组中. 相似文献
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利用值分布理论,研究了一类Fermat型复微分-差分方程与复微分-差分方程组,得到有限级超越整函数解的存在条件与具体形式,推广改进了高凌云、刘凯、曾翠萍等人的结果. 相似文献
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主要运用Nevanlinna值分布理论,研究了一类关于超越亚纯函数的复差分-微分多项式的零点问题,推广了差分-微分多项式的一些结果.利用分析函数的零点与极点的方法,证明了n取一定值时,复差分-微分多项式取零点无穷多次,结果可被看作Hayman猜想的微分-差分形式. 相似文献
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《数学物理学报(A辑)》2016,(5)
利用亚纯函数的值分布理论,该文主要研究了复差分方程组的允许解的形式,得到一个结论,将复微分(差分)方程的相关结论推广到复差分方程组中,例子表明该文结论精确. 相似文献
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A 2 + 1-dimensional Volttera type lattice is proposed. Resorting to the nonlinearization of Lax pair, the 2 + 1-dimensional Volttera type lattice is decomposed into the known 1+1-dimensional differential-difference equations. The relation between a new 2 + 1-dimensional differential-difference equation, certain 1+1-dimensional continuous evolution equations and the known 1+1-dimensional differential-difference equations is discussed. Based on finite-order expansion of the Lax matrix, we introduce elliptic coordinates, from which the two 2 + 1-dimensional differential-difference equations are separated into solvable ordinary differential equations. The evolution of various flows is explicitly given through the Abel–Jacobi coordinates. Quasi-periodic solutions for the two 2 + 1-dimensional differential-difference equations are obtained. 相似文献
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Some Properties of Meromorphic Solutions to Systems of Complex Differential-Difference Equations 下载免费PDF全文
Haichou 《数学年刊B辑(英文版)》2016,37(5):719-728
Applying Nevanlinna theory of the value distribution of meromorphic
functions, the author studies some properties of Nevanlinna counting
function and proximity function of meromorphic solutions to a type
of systems of complex differential-difference equations.
Specifically speaking, the estimates about counting function and
proximity function of meromorphic solutions to systems of complex
differential-difference equations can be given. 相似文献
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Lingyun GAO 《数学物理学报(B辑英文版)》2017,37(1):187-194
In this paper, we will mainly investigate entire solutions with finite order of two types of systems of differential-difference equations, and obtain some interesting results. It extends some results concerning complex differential (difference) equations to the systems of differential-difference equations. 相似文献
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Hong Zhao 《Applied mathematics and computation》2010,216(4):1219-479
This paper presents a new algebraic procedure to construct exact solutions of selected nonlinear differential-difference equations. The discrete sine-Gordon equation and differential-difference asymmetric Nizhnik-Novikov-Veselov equations are chosen as examples to illustrate the efficiency and effectiveness of the new procedure, where various types of exact travelling wave solutions for these nonlinear differential-difference equations have been constructed. It is anticipated that the new procedure can also be used to produce solutions for other nonlinear differential-difference equations. 相似文献
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V. M. Marchenko 《Differential Equations》2018,54(11):1456-1471
We present a general approach to the pole assignment problem for linear stationary hybrid differential-difference systems as a coefficient control problem for their characteristic equations. Various scales (classes) of linear feedback controllers are considered. Special attention is paid to the solvability of the pole assignment problem for such systems in the scale of general differential-difference controllers and in a general scale that, along with differential-difference controllers, contains integral controllers whose kernels are compactly supported functions. A general scheme for constructing such controllers is proposed based on the algebraic properties of the shift operator, the Paley–Wiener theorem on compactly supported functions, and the methods of interpolation theory in the class of entire functions of exponential type. Examples and counterexamples illustrating the results are given. 相似文献
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P. S. Szczepaniak 《Journal of Optimization Theory and Applications》1989,63(3):459-468
This paper deals with dynamic systems described by nonlinear differential-difference equations of retarded type. The problem considered is to determine the initial function and certain system parameters which minimize a given cost functional. A computational method is presented and some convergence results are given. Numerical examples of linear and nonlinear systems are also included. 相似文献
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Sufficient conditions are established for the existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations. The investigations are carried out by means of piecewise continuous functions of Lyapunov type and by using Markoff’s sets. We provide an example to demonstrate the effectiveness of our results. 相似文献
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Doklady Mathematics - A linear control system described by a system of differential-difference equations of neutral type with several delays and variable matrix coefficients is considered. The... 相似文献