A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution

被引：15

作者：

Duarte, LGS ^{[1
]}

Duarte, SES

da Mota, LACP

机构：

[1] Univ Estado Rio De Janeiro, Inst Fis, Dept Fis Teor, BR-20559900 Rio De Janeiro, RJ, Brazil

[2] Univ Estacio Sa, Dept Engn Eletr, Rio De Janeiro, RJ, Brazil

[3] Ctr Brasileiro Pesquisas Fis, Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 17期

关键词：

D O I：

10.1088/0305-4470/35/17/306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The usual Prelle-Singer (PS) approach misses many first-order ordinary differential equations presenting Liouvillian functions in the solution (LFOODEs). We point out why and propose a method extending the PS method to solve a class of these previously unsolved LFOODEs. Although our method does not coverall the LFOODEs, it maintains the semi decision nature of the usual PS method.

引用

页码：3899 / 3910

页数：12

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