Symbolic solution of nonhomogeneous linear ordinary differential equations in terms of power series

被引：1

作者：

Ryabenko, AA ^{[1
]}

机构：

[1] Russian Acad Sci, Ctr Comp, Moscow 119991, Russia

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2006年 / 32卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Differential Equation; Operating System; Artificial Intelligence; Rational Function; Ordinary Differential Equation;

D O I：

10.1134/S0361768806020113

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

For a nonhomogeneous linear ordinary differential equation Ly(x) =f(x) with polynomial coefficients and a holonomic right-hand side, a set of points x = a is found where a power series solution y(x) = Sigma(infinity)(n=0)c(n)(x - a)(n) with hypergeometric coefficients exists (starting from some number, the ratio c(n+1)/c(n) is a rational function of n).

引用

页码：120 / 122

页数：3

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