Integrability problems for two classes of polynomial differential systems

Integrability problems for two classes of polynomial differential systems

This paper,using pseudo-division algorithm,introduces a method for computing singular point values of a class of complex polynomial differential systems,establishes the necessary and sufficient conditions for integrability of two classes of complex polynomial differential systems,and verifies all th...

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Main Author: SANG Bo
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2013-10-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
polynomial differential systems
integrability
integrating factor
singular point quantities
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201305003&year_id=2013&quarter_id=5&falg=1
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spelling doaj-6f48c84fd5a647848db41f6a7e6687fc2020-11-24T22:01:41ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372013-10-01425458464201305003Integrability problems for two classes of polynomial differential systemsSANG Bo0School of Mathematical Sciences,Liaocheng universityThis paper,using pseudo-division algorithm,introduces a method for computing singular point values of a class of complex polynomial differential systems,establishes the necessary and sufficient conditions for integrability of two classes of complex polynomial differential systems,and verifies all these conditions by constructing integrating factors or formal first integrals.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201305003&year_id=2013&quarter_id=5&falg=1polynomial differential systemsintegrabilityintegrating factorsingular point quantities
collection DOAJ
language English
format Article
sources DOAJ
author SANG Bo
spellingShingle SANG Bo
Integrability problems for two classes of polynomial differential systems
Journal of Shanghai Normal University (Natural Sciences)
polynomial differential systems
integrability
integrating factor
singular point quantities
author_facet SANG Bo
author_sort SANG Bo
title Integrability problems for two classes of polynomial differential systems
title_short Integrability problems for two classes of polynomial differential systems
title_full Integrability problems for two classes of polynomial differential systems
title_fullStr Integrability problems for two classes of polynomial differential systems
title_full_unstemmed Integrability problems for two classes of polynomial differential systems
title_sort integrability problems for two classes of polynomial differential systems
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2013-10-01
description This paper,using pseudo-division algorithm,introduces a method for computing singular point values of a class of complex polynomial differential systems,establishes the necessary and sufficient conditions for integrability of two classes of complex polynomial differential systems,and verifies all these conditions by constructing integrating factors or formal first integrals.
topic polynomial differential systems
integrability
integrating factor
singular point quantities
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201305003&year_id=2013&quarter_id=5&falg=1
work_keys_str_mv AT sangbo integrabilityproblemsfortwoclassesofpolynomialdifferentialsystems
_version_ 1725839020205801472

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