Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential

Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equation...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Science China. Mathematics 2013-03, Vol.56 (3), p.561-576
Hauptverfasser: Anderson, Douglas R., Saker, Samir H.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 576
container_issue 3
container_start_page 561
container_title Science China. Mathematics
container_volume 56
creator Anderson, Douglas R.
Saker, Samir H.
description Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.
doi_str_mv 10.1007/s11425-012-4487-7
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1372628757</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>44673306</cqvip_id><sourcerecordid>1372628757</sourcerecordid><originalsourceid>FETCH-LOGICAL-c423t-ee09ab2192a1428e8131543411eb9970d53b033865cd82fdc461386697f440b33</originalsourceid><addsrcrecordid>eNqFkV1PwyAUhhujicvcD_Cu3nmD8lWgl2bZdMkSb_SaUEo3lhY2aDX791K37FJJ-Dp53nPgvFl2j-ATgpA_R4QoLgBEGFAqOOBX2QQJVoK04Ot0ZpwCjgW5zWYx7mAapISUk0nWrVxvwpdqcx-1bVvVW-9yHWyKWpU3PoxTmzpfdLVxYOm_W5Nig9MjmXT10anO6twchl9xzL9tv72k8-GY731vXG9Ve5fdNKqNZnbep9nncvExfwPr99fV_GUNNMWkB8bAUlUYlViljwkjEEEFJRQhU5Ulh3VBKkiIYIWuBW5qTRlKN1byhlJYETLNHk9598EfBhN72dmoTXqPM36IMjUEFYIk-H-UcMyw4AVPKDqhOvgYg2nkPthOhaNEUI5GyJMRMhkhRyPkqMEnTUys25ggd34IqW_xT9HDudDWu80h6S6VKGWcEMjID2HOlro</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1372628757</pqid></control><display><type>article</type><title>Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential</title><source>SpringerNature Journals</source><source>Alma/SFX Local Collection</source><creator>Anderson, Douglas R. ; Saker, Samir H.</creator><creatorcontrib>Anderson, Douglas R. ; Saker, Samir H.</creatorcontrib><description>Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.</description><identifier>ISSN: 1674-7283</identifier><identifier>ISSN: 1006-9283</identifier><identifier>EISSN: 1869-1862</identifier><identifier>DOI: 10.1007/s11425-012-4487-7</identifier><language>eng</language><publisher>Heidelberg: SP Science China Press</publisher><subject>Applications of Mathematics ; Astronomy ; China ; Criteria ; Difference equations ; Differential equations ; Dynamics ; Intervals ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Oscillations ; Riccati ; Series (mathematics) ; 动态方程 ; 区间振动准则 ; 差分方程 ; 振荡 ; 电位 ; 线性 ; 黎卡提</subject><ispartof>Science China. Mathematics, 2013-03, Vol.56 (3), p.561-576</ispartof><rights>Science China Press and Springer-Verlag Berlin Heidelberg 2012</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c423t-ee09ab2192a1428e8131543411eb9970d53b033865cd82fdc461386697f440b33</citedby><cites>FETCH-LOGICAL-c423t-ee09ab2192a1428e8131543411eb9970d53b033865cd82fdc461386697f440b33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/60114X/60114X.jpg</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11425-012-4487-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11425-012-4487-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Anderson, Douglas R.</creatorcontrib><creatorcontrib>Saker, Samir H.</creatorcontrib><title>Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential</title><title>Science China. Mathematics</title><addtitle>Sci. China Math</addtitle><addtitle>SCIENCE CHINA Mathematics</addtitle><description>Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.</description><subject>Applications of Mathematics</subject><subject>Astronomy</subject><subject>China</subject><subject>Criteria</subject><subject>Difference equations</subject><subject>Differential equations</subject><subject>Dynamics</subject><subject>Intervals</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Oscillations</subject><subject>Riccati</subject><subject>Series (mathematics)</subject><subject>动态方程</subject><subject>区间振动准则</subject><subject>差分方程</subject><subject>振荡</subject><subject>电位</subject><subject>线性</subject><subject>黎卡提</subject><issn>1674-7283</issn><issn>1006-9283</issn><issn>1869-1862</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkV1PwyAUhhujicvcD_Cu3nmD8lWgl2bZdMkSb_SaUEo3lhY2aDX791K37FJJ-Dp53nPgvFl2j-ATgpA_R4QoLgBEGFAqOOBX2QQJVoK04Ot0ZpwCjgW5zWYx7mAapISUk0nWrVxvwpdqcx-1bVvVW-9yHWyKWpU3PoxTmzpfdLVxYOm_W5Nig9MjmXT10anO6twchl9xzL9tv72k8-GY731vXG9Ve5fdNKqNZnbep9nncvExfwPr99fV_GUNNMWkB8bAUlUYlViljwkjEEEFJRQhU5Ulh3VBKkiIYIWuBW5qTRlKN1byhlJYETLNHk9598EfBhN72dmoTXqPM36IMjUEFYIk-H-UcMyw4AVPKDqhOvgYg2nkPthOhaNEUI5GyJMRMhkhRyPkqMEnTUys25ggd34IqW_xT9HDudDWu80h6S6VKGWcEMjID2HOlro</recordid><startdate>20130301</startdate><enddate>20130301</enddate><creator>Anderson, Douglas R.</creator><creator>Saker, Samir H.</creator><general>SP Science China Press</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20130301</creationdate><title>Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential</title><author>Anderson, Douglas R. ; Saker, Samir H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c423t-ee09ab2192a1428e8131543411eb9970d53b033865cd82fdc461386697f440b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Applications of Mathematics</topic><topic>Astronomy</topic><topic>China</topic><topic>Criteria</topic><topic>Difference equations</topic><topic>Differential equations</topic><topic>Dynamics</topic><topic>Intervals</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Oscillations</topic><topic>Riccati</topic><topic>Series (mathematics)</topic><topic>动态方程</topic><topic>区间振动准则</topic><topic>差分方程</topic><topic>振荡</topic><topic>电位</topic><topic>线性</topic><topic>黎卡提</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Anderson, Douglas R.</creatorcontrib><creatorcontrib>Saker, Samir H.</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Science China. Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Anderson, Douglas R.</au><au>Saker, Samir H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential</atitle><jtitle>Science China. Mathematics</jtitle><stitle>Sci. China Math</stitle><addtitle>SCIENCE CHINA Mathematics</addtitle><date>2013-03-01</date><risdate>2013</risdate><volume>56</volume><issue>3</issue><spage>561</spage><epage>576</epage><pages>561-576</pages><issn>1674-7283</issn><issn>1006-9283</issn><eissn>1869-1862</eissn><abstract>Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.</abstract><cop>Heidelberg</cop><pub>SP Science China Press</pub><doi>10.1007/s11425-012-4487-7</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1674-7283
ispartof Science China. Mathematics, 2013-03, Vol.56 (3), p.561-576
issn 1674-7283
1006-9283
1869-1862
language eng
recordid cdi_proquest_miscellaneous_1372628757
source SpringerNature Journals; Alma/SFX Local Collection
subjects Applications of Mathematics
Astronomy
China
Criteria
Difference equations
Differential equations
Dynamics
Intervals
Mathematical analysis
Mathematics
Mathematics and Statistics
Oscillations
Riccati
Series (mathematics)
动态方程
区间振动准则
差分方程
振荡
电位
线性
黎卡提
title Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T19%3A22%3A09IST&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=Interval%20oscillation%20criteria%20for%20forced%20Emden-Fowler%20functional%20dynamic%20equations%20with%20oscillatory%20potential&rft.jtitle=Science%20China.%20Mathematics&rft.au=Anderson,%20Douglas%20R.&rft.date=2013-03-01&rft.volume=56&rft.issue=3&rft.spage=561&rft.epage=576&rft.pages=561-576&rft.issn=1674-7283&rft.eissn=1869-1862&rft_id=info:doi/10.1007/s11425-012-4487-7&rft_dat=%3Cproquest_cross%3E1372628757%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1372628757&rft_id=info:pmid/&rft_cqvip_id=44673306&rfr_iscdi=true