Ordinary and partial difference equations
نویسندگان
چکیده
منابع مشابه
Symmetries and linearization of ordinary difference equations
The connection between symmetries and linearizations of discrete-time dynamical systems is being inverstigated. It is shown, that existence of semigroup structures related to the vector field and having linear representations enables reduction of linearization problem to a system of first order partial differential equations. By means of inverse of the Poincaré map one can relate symmetries in ...
متن کاملFinite Difference and Spectral Methods for Ordinary and Partial Differential Equations
ly u t is nothing more than an element in a Banach space B and this leaves room for applications to a wide variety of problems in di erential equations As in the examples above B might be L and A might be x or x and homogeneous boundary conditions could be included by restricting B appropriately More generally u t could be an vector valued function of multiple space variables The next step is t...
متن کاملFinite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems
25. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Müller, and Birgitt Schönfisch 2006 · xii + 309 pages · Softcover · 978-0-898716-12-2 List $74.50 · SIAM Member $52.15 · MM12 ORDER DIRECT at www.siam.org/catalog Bestsellers Top Selling Titles from the Society for Industrial and Applied Mat...
متن کاملRational solutions of ordinary difference equations
In this paper, we generalize the results of Feng and Gao [Feng, R., Gao, X.S., 2006. A polynomial time algorithm to find rational general solutions of first order autonomous ODEs. J. Symbolic Comput., 41(7), 735–762] to the case of difference equations. We construct two classes of ordinary difference equations (O∆Es) whose solutions are exactly the univariate polynomial and rational functions r...
متن کاملRational General Solutions of Ordinary Difference Equations
In this paper, we generalize the results in [9] to ordinary difference equations (O∆Es). We give an equivalent condition for an O∆E to have a rational type general solution. For the first order autonomous (constant coefficients) O∆Es, based on the parametrization of plane algebraic curves, we give the exact degrees of their possible rational solutions and give an algorithm to compute a rational...
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ژورنال
عنوان ژورنال: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
سال: 1986
ISSN: 0334-2700,1839-4078
DOI: 10.1017/s0334270000005099