Results 221 to 230 of about 844,096 (267)

On a fuzzy difference equation

IEEE Transactions on Fuzzy Systems, 1995
Difference equations arise in the modeling of many interesting problems. "Measurements" of data or specified information for an underlying problem may be imprecise or only partially specified. This motivates us to initiate a study of "fuzzy difference equations". In this paper, we formulate and solve a given difference equation in the fuzzy setting and
Elias Deeba, André de Korvin
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Dynamics of a Difference Equation

2009 Fifth International Conference on Natural Computation, 2009
In this paper, the global stability, the periodic character, and the persistence of a rational difference equation are investigated.
Qi Wang 0096, Fan-ping Zeng, Ke-song Yan, Geng-rong Zhang, Xin-he Liu   +4 more
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On a system of difference equations

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonsymmetric Difference Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
The purpose of this paper is to discuss several nonsymmetric difference equations. By this we mean that not all points are calculated by the same equation. Proofs of convergence will attempt to follow the methods of Richtmyer [4]. Nonsymmetric difference equations are well known at the present time. The Peaceman-Rachford alternating implicit scheme [3]
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Difference equations and their applications

Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, 1959
This paper is intended to introduce the methods and literature of difference equations to engineers who are unaquainted with them or their wide applicability and power.
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A Variational Complex for Difference Equations

Foundations of Computational Mathematics, 2004
The authors state and prove an analogue of the Poincaré lemma for exact forms on a lattice. From the results, a variational complex for difference equations is constructed and, furthermore, it is proved to be locally exact. In order to calculate the Lagrangians for discrete Euler-Lagrange systems, homotopy maps are applied.
Peter E. Hydon, Elizabeth L. Mansfield
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On the system of rational difference equations

AIP Conference Proceedings, 2018
In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1,z0,z−1 real numbers such that y0 x−1 ≠1 and x0y−1 ≠ 1In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1 ...
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DIFFERENCE EQUATIONS FOR CELLULAR AUTOMATA

International Journal of Bifurcation and Chaos, 2009
In this paper, we propose new difference equations which can generate the evolution rules of cellular automata.
Makoto Itoh, Leon O. Chua
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Partial Differential Equations and Difference Equations

Proceedings of the American Mathematical Society, 1965
(1. 1) Pi(alax)y = ? (1 _ i _ m) where x = (x1, * , xn), a/ax = (a/ax1, *, O/0xn). The Pi's are assumed to be homogeneous polynomials with real coefficients. The term solution is used to include the generalized solutions. A generalized solution is any function continuous on R which is a uniform limit on compact subsets of CX solutions (see [2, p. 65]).
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What is a Difference Equation ?

1986
The theory of difference equations, despite its absence from the undergraduate curriculum, is an old and beautiful part of mathematics, one with diverse applications to many subjects: biology, economics, numerical analysis, etc. In a difference equation, change takes place in discrete time intervals.
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