On Entire Solutions of a Class of Second-Order Algebraic Differential Equations

For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.

Saved in:
Bibliographic Details
Published in:Mathematical Notes 2021-07, Vol.110 (1-2), p.283-292
Main Author: Yanchenko, A. Ya
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Algebra
Differential equations
Entire functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c198t-6a370becc3283838bbfcb2cca784cef4e4aabc2cca8cc92737253570be9a5f283
container_end_page 292
container_issue 1-2
container_start_page 283
container_title Mathematical Notes
container_volume 110
creator Yanchenko, A. Ya
description For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.
doi_str_mv 10.1134/S0001434621070300
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1134_S0001434621070300</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2563791150</sourcerecordid><originalsourceid>FETCH-LOGICAL-c198t-6a370becc3283838bbfcb2cca784cef4e4aabc2cca8cc92737253570be9a5f283</originalsourceid><addsrcrecordid>eNp1kMtqwzAQRUVpoenjA7oTdO1WI9mWvQxp-oCAF2nXRp6MgoNrJZK96N9XTgpdlDKLed1zB4axOxAPACp9XAshIFVpLkFooYQ4YzPItEqKQufnbDatk2l_ya5C2MUOchAzVlU9X_ZD64mvXTcOresDd5YbvuhMOJZrQtdvkspvyPN5t6XGmxb5U2steYqs6fjyMJoje8MurOkC3f7ka_bxvHxfvCar6uVtMV8lCGUxJLlRWjSEqGShYjSNxUYiGl2kSDal1JgGp0GBWEqttMxUNiGlyWxkrtn9yXfv3WGkMNQ7N_o-nqxllitdAmQiquCkQu9C8GTrvW8_jf-qQdTT3-o_f4uMPDEhavst-V_n_6FvoZ9ujQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2563791150</pqid></control><display><type>article</type><title>On Entire Solutions of a Class of Second-Order Algebraic Differential Equations</title><source>Springer Link</source><creator>Yanchenko, A. Ya</creator><creatorcontrib>Yanchenko, A. Ya</creatorcontrib><description>For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.</description><identifier>ISSN: 0001-4346</identifier><identifier>ISSN: 1067-9073</identifier><identifier>EISSN: 1573-8876</identifier><identifier>DOI: 10.1134/S0001434621070300</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>14/34 ; 639/766/189 ; 639/766/530 ; 639/766/747 ; Algebra ; Differential equations ; Entire functions ; Mathematical analysis ; Mathematics ; Mathematics and Statistics</subject><ispartof>Mathematical Notes, 2021-07, Vol.110 (1-2), p.283-292</ispartof><rights>Pleiades Publishing, Ltd. 2021</rights><rights>Pleiades Publishing, Ltd. 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c198t-6a370becc3283838bbfcb2cca784cef4e4aabc2cca8cc92737253570be9a5f283</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Yanchenko, A. Ya</creatorcontrib><title>On Entire Solutions of a Class of Second-Order Algebraic Differential Equations</title><title>Mathematical Notes</title><addtitle>Math Notes</addtitle><description>For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.</description><subject>14/34</subject><subject>639/766/189</subject><subject>639/766/530</subject><subject>639/766/747</subject><subject>Algebra</subject><subject>Differential equations</subject><subject>Entire functions</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0001-4346</issn><issn>1067-9073</issn><issn>1573-8876</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1kMtqwzAQRUVpoenjA7oTdO1WI9mWvQxp-oCAF2nXRp6MgoNrJZK96N9XTgpdlDKLed1zB4axOxAPACp9XAshIFVpLkFooYQ4YzPItEqKQufnbDatk2l_ya5C2MUOchAzVlU9X_ZD64mvXTcOresDd5YbvuhMOJZrQtdvkspvyPN5t6XGmxb5U2steYqs6fjyMJoje8MurOkC3f7ka_bxvHxfvCar6uVtMV8lCGUxJLlRWjSEqGShYjSNxUYiGl2kSDal1JgGp0GBWEqttMxUNiGlyWxkrtn9yXfv3WGkMNQ7N_o-nqxllitdAmQiquCkQu9C8GTrvW8_jf-qQdTT3-o_f4uMPDEhavst-V_n_6FvoZ9ujQ</recordid><startdate>20210701</startdate><enddate>20210701</enddate><creator>Yanchenko, A. Ya</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20210701</creationdate><title>On Entire Solutions of a Class of Second-Order Algebraic Differential Equations</title><author>Yanchenko, A. Ya</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c198t-6a370becc3283838bbfcb2cca784cef4e4aabc2cca8cc92737253570be9a5f283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>14/34</topic><topic>639/766/189</topic><topic>639/766/530</topic><topic>639/766/747</topic><topic>Algebra</topic><topic>Differential equations</topic><topic>Entire functions</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yanchenko, A. Ya</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematical Notes</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yanchenko, A. Ya</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Entire Solutions of a Class of Second-Order Algebraic Differential Equations</atitle><jtitle>Mathematical Notes</jtitle><stitle>Math Notes</stitle><date>2021-07-01</date><risdate>2021</risdate><volume>110</volume><issue>1-2</issue><spage>283</spage><epage>292</epage><pages>283-292</pages><issn>0001-4346</issn><issn>1067-9073</issn><eissn>1573-8876</eissn><abstract>For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0001434621070300</doi><tpages>10</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0001-4346
ispartof Mathematical Notes, 2021-07, Vol.110 (1-2), p.283-292
issn 0001-4346
1067-9073
1573-8876
language eng
recordid cdi_crossref_primary_10_1134_S0001434621070300
source Springer Link
subjects 14/34
639/766/189
639/766/530
639/766/747
Algebra
Differential equations
Entire functions
Mathematical analysis
Mathematics
Mathematics and Statistics
title On Entire Solutions of a Class of Second-Order Algebraic Differential Equations
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T19%3A47%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Entire%20Solutions%20of%20a%20Class%20of%20Second-Order%20Algebraic%20Differential%20Equations&rft.jtitle=Mathematical%20Notes&rft.au=Yanchenko,%20A.%20Ya&rft.date=2021-07-01&rft.volume=110&rft.issue=1-2&rft.spage=283&rft.epage=292&rft.pages=283-292&rft.issn=0001-4346&rft.eissn=1573-8876&rft_id=info:doi/10.1134/S0001434621070300&rft_dat=%3Cproquest_cross%3E2563791150%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c198t-6a370becc3283838bbfcb2cca784cef4e4aabc2cca8cc92737253570be9a5f283%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2563791150&rft_id=info:pmid/&rfr_iscdi=true