Rational Solutions of Difference Painlevé Equations
نویسندگان
چکیده
منابع مشابه
Rational 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...
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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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In this paper we deal with the periodic nature and the form of the solutions of the following systems of rational difference equations x n+1 = x n−3 ±1 ± x n−3 y n−1 , y n+1 = y n−3 ±1 ± y n−3 x n−1 with a nonzero real number's initial conditions.
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2012
ISSN: 0387-3870
DOI: 10.3836/tjm/1342701346