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Existence of the Solution to the Cauchy Problem for Nonlinear Stochastic Partial Differential-Difference Equations of Neutral Type

Cybernetics and Systems Analysis, 2021
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Yasynskyy, V. K., Yurchenko, I. V.
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Numerical solution of stochastic partial differential difference equation arising in reliability engineering

Applied Mathematics and Computation, 2013
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Manwinder Kaur   +3 more
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ENTIRE AND MEROMORPHIC SOLUTIONS FOR SEVERAL FERMAT TYPE PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS IN ℂ2

Rocky Mountain Journal of Mathematics, 2022
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Xu, Hong Yan, Zhang, Keyu, Zheng, Xiumin
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Numerical solution of first‐order hyperbolic partial differential‐difference equation with shift

Numerical Methods for Partial Differential Equations, 2009
AbstractIn this article, we continue the numerical study of hyperbolic partial differential‐difference equation that was initiated in (Sharma and Singh, Appl Math Comput 201(2008), 229–238). In Sharma and Singh, the authors consider the problem with sufficiently small shift arguments.
Singh, Paramjeet, Sharma, Kapil K.
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Symmetry group of partial differential equations and of differential difference equations: the Toda lattice versus the Korteweg-de Vries equation

Journal of Physics A: Mathematical and General, 1992
Summary: In this work we correlate the symmetry group of the continuous transformations of the Toda lattice to that of the Korteweg-de Vries equation. We show how, by taking into account the continuous limit of the Toda, the four-parameter symmetry group of the Toda is contained in that of the KdV equation.
LEVI, Decio, RODRIGUEZ MA
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Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution

Applied Mathematics and Computation, 2008
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Kapil K Sharma, Paramjeet Singh
exaly   +2 more sources

C∞ functions in infinite dimension and linear partial differential difference equations with constant coefficients

Results in Mathematics, 1983
In this paper the authors prove existence and approximation results for solutions of linear partial differential-difference equations with constant coefficients in the space \({\mathbb{E}}(E)\), which is a dense linear subspace of the space of the Silva \(C^{\infty}\)-functions on a nuclear locally convex space E introduced and studied by \textit{J. F.
Ansemil, J. M., Perrot, B.
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Generalised Backlund transformation for some non-linear partial differential-difference equations

Journal of Physics A: Mathematical and General, 1978
The generalised Backlund transformations connecting two different solutions of non-linear partial differential-difference equations solvable by an inverse method are determined. The scattering problem for the inverse method is the discretised scalar Schrodinger equation. In particular the Backlund transformations relating two different solutions of the
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Non-linear feedback control of parabolic partial differential difference equation systems

International Journal of Control, 2000
This paper proposes a general method for the synthesis of non-linear output feedback controllers for single-input singleoutput quasi-linear parabolic partial differential difference equation (PDDE) systems, for which the eigenspectrum of the spatial differential operator can be partitioned into a finite-dimensional slow one and an infinite-dimensional ...
Charalambos Antoniades   +1 more
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A differential-difference technique for the hybrid computer solution of parabolic partial differential equations

Mathematics and Computers in Simulation, 1975
A differential-difference technique for the hybrid computer solution of parabolic partial differential equations with nonlinear terms is described. A theoretical analysis of the computational stability, convergence and accuracy of the technique is presented, showing that the method has certain important advantages over classical finite difference ...
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