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Dynamics of a Difference Equation
2009 Fifth International Conference on Natural Computation, 2009In this paper, the global stability, the periodic character, and the persistence of a rational difference equation are investigated.
Qi Wang 0096 +4 more
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A Differential-Difference Equation
SIAM Journal on Mathematical Analysis, 1987Wimp shows that the hypergeometric polynomials \[ P_ n(z)=_{p+2}F_{p+1}(-n,n+\lambda,a_ p;b_{p+1};z),\quad n=0,1,...\quad, \] satisfies a certain differential-difference equation. Here we show that all ''common'' solutions to the standard differential equations and the standard difference equation satisfied by the \(P_ n(z)\) also satisfy the above ...
Fields, Jerry L., Al-Salam, Waleed A.
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On a difference equation with maximum
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaofan Yang 0001 +2 more
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On a fuzzy difference equation
IEEE Transactions on Fuzzy Systems, 1995Difference 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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Difference equations and their applications
Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, 1959This 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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Nonsymmetric Difference Equations
Journal of the Society for Industrial and Applied Mathematics, 1965The 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 as Difference Analogues of Differential Equations
2011Functional differential equations arise in the modeling of hereditary systems such as ecological and biological systems, chemical and mechanical systems and many-many other. The long-term behavior and stability of such systems is an important area for investigation. For example, will a population decline to dangerously low levels?
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DIFFERENCE EQUATIONS FOR CELLULAR AUTOMATA
International Journal of Bifurcation and Chaos, 2009In 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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What is a Difference Equation ?
1986The 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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