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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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Language Equations with Symmetric Difference
Fundamenta Informaticae, 2006The paper investigates the expressive power of language equations with the operations of concatenation and symmetric difference. For equations over every finite alphabet Σ with |Σ| ≥ 1, it is demonstrated that the sets representable by unique solutions of such equations are exactly the recursive sets over Σ, and the sets representable by their least ...
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Difference schemes for the dispersive equation
Computing, 1983In this paper a table of difference schemes for the dispersive equationui=auxxx is presented. A collection of criterions for deriving stability conditions of difference schemes is given and applied to these difference schemes.
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Difference Equations and Differential Equations
2012In this chapter we focus on the Markov model in continuous time. The differential equations are the continuous counter part to the difference equations of the discrete model.
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Some differences between difference equations and differential equations
Journal of Difference Equations and Applications, 1996In this expository paper we discuss some instances in which analogues which might be expected between the behavior of solutions of differential equations and difference equations fail to hold, focussing particularly on questions related to boundedness and oscillation.
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Existence of chaos for partial difference equations via tangent and cotangent functions
Advances in Difference Equations, 2021Wei Liang, Liang Wei
exaly
Nonstandard Finite Difference Schemes for Differential Equations
Journal of Difference Equations and Applications, 2002Ronald E Mickens
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First order analytic difference equations and integrable quantum systems
Journal of Mathematical Physics, 1997S N M Ruijsenaars, Ruijsenaars S N M
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On the dynamics of two exponential type systems of difference equations
Computers and Mathematics With Applications, 2012G Papaschinopoulos, C J Schinas
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