Painleve Property and Algebraic Integrability of Single Variable Ordinary Differential Equations with Dominants
نویسندگان
چکیده
منابع مشابه
Computer methods for ordinary differential equations and differential-algebraic equations
Spend your few moment to read a book even only few pages. Reading book is not obligation and force for everybody. When you don't want to read, you can get punishment from the publisher. Read a book becomes a choice of your different characteristics. Many people with reading habit will always be enjoyable to read, or on the contrary. For some reasons, this computer methods for ordinary different...
متن کاملMacsyma Program for the Painleve Test of Nonlinear Ordinary and Partial Differential Equations
A MACSYMA program is presented which determines whether a given single nonlinear ODE or PDE with real polynomial terms fulfills the necessary conditions for having the Painlevd property. The program listing is given, together with a synopsis of the algorithm, a model of the output of the 0 "S program, a list of tested exarples and instructions to use the package. AMS (MOS) Subject Classificatio...
متن کاملMovable algebraic singularities of second-order ordinary differential equations
Any nonlinear equation of the form y′′ = ∑N n=0 an(z)y n has a (generally branched) solution with leading order behaviour proportional to (z − z0) about a point z0, where the coefficients an are analytic at z0 and aN (z0) 6= 0. We consider the subclass of equations for which each possible leading order term of this form corresponds to a one-parameter family of solutions represented near z0 by a...
متن کاملFormal Power Series Solutions of Algebraic Ordinary Differential Equations
In this paper, we consider nonlinear algebraic ordinary differential equations (AODEs) and study their formal power series solutions. Our method is inherited from Lemma 2.2 in [J. Denef and L. Lipshitz, Power series solutions of algebraic differential equations, Mathematische Annalen, 267(1984), 213-238] for expressing high order derivatives of a differential polynomial via their lower order on...
متن کاملLaurent Series Solutions of Algebraic Ordinary Differential Equations
This paper concerns Laurent series solutions of algebraic ordinary differential equations (AODEs). We first present several approaches to compute formal power series solutions of a given AODE. Then we determine a bound for orders of its Laurent series solutions. Using the order bound, one can transform a given AODE into a new one whose Laurent series solutions are only formal power series. The ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1990
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp/84.3.386