Results 241 to 250 of about 6,829,605 (274)

The stability of neutral stochastic partial differential difference equations

Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826), 2005
In this paper, the stability of a class of neutral stochastic partial differential difference equations was discussed. The main method used in the paper was that, firstly, construct an average Lyapunov function with respect to the spatial variables was constructed; and then the ltd differential formula was used under the integral operator along the ...
null Yu-Tian Zhang, null Qi Luo
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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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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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Numerical solution of stochastic partial differential difference equation arising in reliability engineering

Applied Mathematics and Computation, 2013
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Manwinder Kaur, Arvind Kumar Lal, Satvinder Singh Bhatia, Akepati Sivarami Reddy   +3 more
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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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Variable Separable Method and Exact Solutions of Nonlinear Partial Differential, Differential-Difference and Partial Difference Equations

Indian Journal of Pure and Applied Mathematics
C Uma Maheswari
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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, Panagiotis D. Christofides   +1 more
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