Results 241 to 250 of about 6,248,302 (280)

On existence of solutions of differential‐difference equations

Mathematical Methods in the Applied Sciences, 2015
This paper applies Nevanlinna theory of value distribution to discuss existence of solutions of certain types of non‐linear differential‐difference equations such as (5) and (8) given in the succeeding paragraphs. Existence of solutions of differential equations and difference equations can be said to have been well studied, that of differential ...
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Linear differential difference equations

2021
The paper introduces the subject through linear differential difference equations of retarded and neutral type with constant coefficients. There is a series of theories of linear equations with constant coefficients, the simplest possible differential difference equations, are based on such fundamental methods.
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The differential difference equation for epidemics

The Bulletin of Mathematical Biophysics, 1945
Not ...
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Growth on Meromorphic Solutions of Differential–Difference Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2019
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Wang, Qiongyan, Zhan, Guoping, Hu, Peichu   +2 more
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Entire Solutions of Some Differential–Difference Equations

Bulletin of the Iranian Mathematical Society, 2019
This paper is a continuation of the paper by \textit{X. Qi} et al. [J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 128--133 (2017; Zbl 1372.30023)]. Here the authors prove some non-existence theorems on entire solutions with finite order of Fermat-type differential-difference equations using Nevanlinna theory.
Xiaoguang Qi, Lianzhong Yang
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Lie Point Symmetries of Differential-Difference Equations

Communications in Theoretical Physics, 2004
Summary: In this paper, the classical Lie group approach is extended to find some Lie point symmetries of differential-difference equations. It reveals that the obtained Lie point symmetries can constitute a Kac--Moody--Virasoro algebra.
Ding, Wei, Tang, Xiao-Yan
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Nonlinear differential–difference equations and Fourier analysis

Journal of Mathematical Physics, 1976
The conceptual analogy between Fourier analysis and the exact solution to a class of nonlinear differential–difference equations is discussed in detail. We find that the dispersion relation of the associated linearized equation is prominent in developing a systematic procedure for isolating and solving the equation.
Ablowitz, M. J., Ladik, J. F.
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A differential-difference equation for a KdV-MKdV equation

Mathematics and Computers in Simulation, 1993
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Linear differential difference equations

1977
In this chapter, we discuss the simplest possible differential difference equations; namely, linear equations with constant coefficients. For these equations, a rather complete theory can be developed using very elementary tools. The chapter serves as an introduction to the more general types of equations that will be encountered in later chapters.
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APPROXIMATE SOLUTIONS OF NONLINEAR DIFFERENTIAL DIFFERENCE EQUATIONS

International Journal of Computational Methods, 2009
An extend of He's homotopy perturbation method (HPM) is used for finding a new approximate and exact solutions of nonlinear difference differential equations arising in mathematical physics. To illustrate the effectiveness and the advantage of the proposed method, two models of nonlinear difference equations of special interest in physics are chosen,
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