Partial integrals of ordinary differential systems

Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The possibilities of constructing first integrals and last multipliers by known partial integrals are considered. Applications...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-09
Main Author: Gorbuzov, V N
Format: Article
Language:English
Subjects:
Integrals
Inverse problems
Polynomials
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Gorbuzov, V N
description Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The possibilities of constructing first integrals and last multipliers by known partial integrals are considered. Applications of partial integrals to solve the Darboux problem and to the extended Darboux problem are given. Integral basis of the Jacobi system is built. And the inverse problem of constructing differential systems on the base of their partial integrals is solved.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2110102982</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2110102982</sourcerecordid><originalsourceid>FETCH-proquest_journals_21101029823</originalsourceid><addsrcrecordid>eNqNyrEKwjAQgOFDECzadwg4F5KL1TqL4ujgXgK9SEpN9C4d-vYW8QGc_uH_FlCgtaZqdogrKEV6rTXuD1jXtgC8Oc7BDSrETA92g6jkVeIuRMeT6oL3xBS_RCbJ9JQNLP3sqPx1DdvL-X66Vi9O75Ekt30aOc6rRWO00Xhs0P6nPiNxNGM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2110102982</pqid></control><display><type>article</type><title>Partial integrals of ordinary differential systems</title><source>Publicly Available Content Database</source><creator>Gorbuzov, V N</creator><creatorcontrib>Gorbuzov, V N</creatorcontrib><description>Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The possibilities of constructing first integrals and last multipliers by known partial integrals are considered. Applications of partial integrals to solve the Darboux problem and to the extended Darboux problem are given. Integral basis of the Jacobi system is built. And the inverse problem of constructing differential systems on the base of their partial integrals is solved.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Integrals ; Inverse problems ; Polynomials</subject><ispartof>arXiv.org, 2018-09</ispartof><rights>2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2110102982?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>Gorbuzov, V N</creatorcontrib><title>Partial integrals of ordinary differential systems</title><title>arXiv.org</title><description>Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The possibilities of constructing first integrals and last multipliers by known partial integrals are considered. Applications of partial integrals to solve the Darboux problem and to the extended Darboux problem are given. Integral basis of the Jacobi system is built. And the inverse problem of constructing differential systems on the base of their partial integrals is solved.</description><subject>Integrals</subject><subject>Inverse problems</subject><subject>Polynomials</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNyrEKwjAQgOFDECzadwg4F5KL1TqL4ujgXgK9SEpN9C4d-vYW8QGc_uH_FlCgtaZqdogrKEV6rTXuD1jXtgC8Oc7BDSrETA92g6jkVeIuRMeT6oL3xBS_RCbJ9JQNLP3sqPx1DdvL-X66Vi9O75Ekt30aOc6rRWO00Xhs0P6nPiNxNGM</recordid><startdate>20180919</startdate><enddate>20180919</enddate><creator>Gorbuzov, V N</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20180919</creationdate><title>Partial integrals of ordinary differential systems</title><author>Gorbuzov, V N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_21101029823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Integrals</topic><topic>Inverse problems</topic><topic>Polynomials</topic><toplevel>online_resources</toplevel><creatorcontrib>Gorbuzov, V N</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gorbuzov, V N</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Partial integrals of ordinary differential systems</atitle><jtitle>arXiv.org</jtitle><date>2018-09-19</date><risdate>2018</risdate><eissn>2331-8422</eissn><abstract>Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The possibilities of constructing first integrals and last multipliers by known partial integrals are considered. Applications of partial integrals to solve the Darboux problem and to the extended Darboux problem are given. Integral basis of the Jacobi system is built. And the inverse problem of constructing differential systems on the base of their partial integrals is solved.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2018-09
issn 2331-8422
language eng
recordid cdi_proquest_journals_2110102982
source Publicly Available Content Database
subjects Integrals
Inverse problems
Polynomials
title Partial integrals of ordinary differential systems
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T22%3A13%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Partial%20integrals%20of%20ordinary%20differential%20systems&rft.jtitle=arXiv.org&rft.au=Gorbuzov,%20V%20N&rft.date=2018-09-19&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2110102982%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_21101029823%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2110102982&rft_id=info:pmid/&rfr_iscdi=true