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The differential difference equation for epidemics

The Bulletin of Mathematical Biophysics, 1945
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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   +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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On a Class of Differential-Difference Equations

Proceedings of the London Mathematical Society, 1956
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