带p-Laplacian算子的三阶微分方程边值问题正解的存在性
许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶三点边值问题：｛（φp（u′））″（t）＋a（t）f（t,u（t）,u′（t））=0,0＜t＜1,u（0）=0,φp（u′）（1）=αφp（u′）（η）,（φp（u′））′（0）=0的正解的存在性,其中φp（s）=｜s｜p-2 s,p＞1.应用Avery-Peterson不动点定理,当非线性项f满足一定的增长条件时,得到上述边值问题至少存在三个正解的充分条件....
Saved in:
| Published in | 河北科技大学学报 Vol. 35; no. 6; pp. 524 - 528 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
河北科技大学理学院,河北石家庄,050018
2014
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-1542 |
| DOI | 10.7535/hbkd.2014yx05001 |
Cover
| Abstract | 许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶三点边值问题：｛（φp（u′））″（t）＋a（t）f（t,u（t）,u′（t））=0,0＜t＜1,u（0）=0,φp（u′）（1）=αφp（u′）（η）,（φp（u′））′（0）=0的正解的存在性,其中φp（s）=｜s｜p-2 s,p＞1.应用Avery-Peterson不动点定理,当非线性项f满足一定的增长条件时,得到上述边值问题至少存在三个正解的充分条件. |
|---|---|
| AbstractList | 许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶三点边值问题：｛（φp（u′））″（t）＋a（t）f（t,u（t）,u′（t））=0,0＜t＜1,u（0）=0,φp（u′）（1）=αφp（u′）（η）,（φp（u′））′（0）=0的正解的存在性,其中φp（s）=｜s｜p-2 s,p＞1.应用Avery-Peterson不动点定理,当非线性项f满足一定的增长条件时,得到上述边值问题至少存在三个正解的充分条件. O175.8; 许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶三点边值问题:｛(φp(u′))″(t)+a(t)f(t,u(t),u′(t))=0,0＜t＜1,u(0)=0,φp(u′)(1)=αφp(u′)(η),(φp(u′))′(0)=0的正解的存在性,其中φp(s)=｜s｜p-2 s,p＞1.应用Avery-Peterson不动点定理,当非线性项f满足一定的增长条件时,得到上述边值问题至少存在三个正解的充分条件. |
| Author | 郭彦平 李春景 韩迎迎 |
| AuthorAffiliation | 河北科技大学理学院,河北石家庄050018 |
| AuthorAffiliation_xml | – name: 河北科技大学理学院,河北石家庄,050018 |
| Author_FL | LI Chunjing GUO Yanping HAN Yingying |
| Author_FL_xml | – sequence: 1 fullname: GUO Yanping – sequence: 2 fullname: LI Chunjing – sequence: 3 fullname: HAN Yingying |
| Author_xml | – sequence: 1 fullname: 郭彦平 李春景 韩迎迎 |
| BookMark | eNotjz9PwkAchm_ARER2Zxen4q_3r-1oiKIJiQs7ueu1UMQDIUbYGIzRuDgJMU6SCEsZDSSGT-MV-BbW4PQuT973ffZQRrd0gNCBDQWHEXZcl1eqgMGm_R4wADuDsjaAa9mM4l2U73YjCYRTQpnrZVHJzD_bVlm0m8KPhF7NhiZ-Wb3d_8yfNqMvs5yZx4fkdbGaPq-XCzP43gxnm49REo_Xk3GKmXhk3qfJYLKPdkLR7Ab5_8yhytlppXhulS9LF8WTsuUzj1kB8QhLT4bUVtxn2IVAgeBKSuljJRgh1MWSCEI8xpUPrhTgANDQDbDijJMcOtrW3gkdCl2rNlq3HZ0OVlPthur9eQMHYCl5uCX9ekvXbqKUbXeia9HpVzknGDuOA-QXwMVwdg |
| ClassificationCodes | O175.8 |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.7535/hbkd.2014yx05001 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| DocumentTitleAlternate | Existence of positive solutions for boundary value problem of third-order differential equations of with p-Laplacian |
| DocumentTitle_FL | Existence of positive solutions for boundary value problem of third-order differential equations of with p-Laplacian |
| EndPage | 528 |
| ExternalDocumentID | hbkjdx201406005 663227770 |
| GrantInformation_xml | – fundername: 国家自然科学基金; 河北省自然科学基金 funderid: (111371120); (A2013208147) |
| GroupedDBID | 2RA 92L ALMA_UNASSIGNED_HOLDINGS CDYEO CQIGP ~WA 2B. 4A8 92I 93N PSX TCJ |
| ID | FETCH-LOGICAL-c595-e3935535f41d6c5280ed0a6dbbbc2da533482b3a33956dc08ba07004f8e2d6563 |
| ISSN | 1008-1542 |
| IngestDate | Thu May 29 04:05:37 EDT 2025 Wed Feb 14 10:33:49 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Keywords | Avery-Peterson不动点定理 边值问题 p-Laplacian boundary value problem Avery-Peterson's fixed point theorem |
| Language | Chinese |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c595-e3935535f41d6c5280ed0a6dbbbc2da533482b3a33956dc08ba07004f8e2d6563 |
| Notes | p-Laplacian; boundary value problem; Avery-Peterson＇s fixed point theorem GUO Yanping, LI Chunjing, HAN Yingying （School of Science, Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China） Many researches on the fields of different applied mathematics and physics can be attributed to the boundary value problem with p-Laplacian.So the research on this issue has important theoretical significance and application value.In this paper,we consider the existenee of triple positive solutions for third-order differential equation boundary value problems with p-Laplacian{ （φp（u′））″（t）＋a（t）f（t,u（t）,u′（t））=0,0〈t〈1,u（0）=0,φp（u′）（1）=αφp（u）（η）,（φp（u′））′（0）=0where φp （s） =[s[ρ 2 s,p〉 1.By using Avery-peterson＇s fixed point theorem,under f satisfies cevtain growth conditions,westudy the existence of at least three positive solutions for the above boundary value problem. 13-1225/TS |
| PageCount | 5 |
| ParticipantIDs | wanfang_journals_hbkjdx201406005 chongqing_primary_663227770 |
| PublicationCentury | 2000 |
| PublicationDate | 2014 |
| PublicationDateYYYYMMDD | 2014-01-01 |
| PublicationDate_xml | – year: 2014 text: 2014 |
| PublicationDecade | 2010 |
| PublicationTitle | 河北科技大学学报 |
| PublicationTitleAlternate | Journal of Hebei University of Science and Technology |
| PublicationTitle_FL | Journal of Hebei University of Science and Technology |
| PublicationYear | 2014 |
| Publisher | 河北科技大学理学院,河北石家庄,050018 |
| Publisher_xml | – name: 河北科技大学理学院,河北石家庄,050018 |
| SSID | ssib036434589 ssib002263455 ssib026596294 ssib051373553 ssib001105175 ssib038074668 ssib025702291 |
| Score | 1.9667578 |
| Snippet | 许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶三点边值... O175.8; 许多不同应用数学和物理领域的研究都可归结为带有p-Laplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值.本文讨论了带p-Laplacian算子三阶... |
| SourceID | wanfang chongqing |
| SourceType | Aggregation Database Publisher |
| StartPage | 524 |
| SubjectTerms | Avery-Peterson不动点定理 p-Laplacian 边值问题 |
| Title | 带p-Laplacian算子的三阶微分方程边值问题正解的存在性 |
| URI | http://lib.cqvip.com/qk/94553A/201406/663227770.html https://d.wanfangdata.com.cn/periodical/hbkjdx201406005 |
| Volume | 35 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVEBS databaseName: Inspec with Full Text issn: 1008-1542 databaseCode: ADMLS dateStart: 20131201 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.ebsco.com/products/research-databases/inspec-full-text omitProxy: false ssIdentifier: ssib025702291 providerName: EBSCOhost |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3Na9VAEF9qe_Eiioq1Kj24x2iy2d3sHjeveRZpvViht0fyNq9F4bVqC7WnIiKKF0-2iCcLtpf2KC1I_xrTj__CmU36EkvBDwhhmPwyO7uTzc4uO7OE3FU9TIslrQfeMfN46mvoc1no5dJqqYXOcotLA9OP5OQT_nBWzA5deN3YtbS8lN3rrp4bV_I_VgUe2BWjZP_BsgOhwAAa7At3sDDc_8rGNBE0VtTIRW8qxd1VYGuaRNQkVEf40ExQ7SNHG6o4TTjClaaJplrRWDoBCeKBUPAIOJJqSWPt5AAnpolCDHIE7ouIW-51VwoQhqEoeAvKMiGCTeSIQaGlGgoJ3UKZAAY5Jmo6xsiMGY1DV0rL6R-hKB04vMFXUBRHZinTyAbhMEacfkComgrxIVbxFAuViMMaAlWdoCpxBOgtHAFVajel6DY12jVC22ErorlcEtQLpf9bjwgNpZoV0k4VBn3gfJmgV8kBO1SWdO3NWr7AQxAbw41Lriv4b-NRmb6l6nfNwUWU0eaVnyLKoPqzQyBMPzFbyHz2DPPgBvzViiu0Hu4HmzAB8tSuIMaXLg3wCIvAWxsmI2Zieupx7VQHmMet4VQzGfI6mhmPQWSszrgUgo_LRX2GAZ5owGU9qRVBGIGTW0a-VNUv9w-g6vfPKo45T-YX-nPPwZNzgXX9Xtqfa_iAM5fJpWryNm7KnniFDK3OXyUPir1vjf53tLte7Hw8-vzm5977k43vxcFu8e7t4af9o-0Pxwf7xdqPk_Xdk68bhzubx1ubACt2Noov24drW9fITDuZaU161fEkXldo4eUY1A4a93hgZRes4efWT6XNsqzLbOpC3FkWpmGohbRdX2Wpj2dJ9FTOLMyiwutkuL_Qz2-QcV9nllu44OfIYQhNdZRpqwQPOOtlzI6SsUEbdBbLLDQdmCowFkWRP0rGq1bpVP-ml50ztr35Z8gYuYh0ubp4iwwvvVjOb4O_vZTdqT6IXx80pDE |
| linkProvider | EBSCOhost |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=%E5%B8%A6p-Laplacian%E7%AE%97%E5%AD%90%E7%9A%84%E4%B8%89%E9%98%B6%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E8%BE%B9%E5%80%BC%E9%97%AE%E9%A2%98%E6%AD%A3%E8%A7%A3%E7%9A%84%E5%AD%98%E5%9C%A8%E6%80%A7&rft.jtitle=%E6%B2%B3%E5%8C%97%E7%A7%91%E6%8A%80%E5%A4%A7%E5%AD%A6%E5%AD%A6%E6%8A%A5&rft.au=%E9%83%AD%E5%BD%A6%E5%B9%B3&rft.au=%E6%9D%8E%E6%98%A5%E6%99%AF&rft.au=%E9%9F%A9%E8%BF%8E%E8%BF%8E&rft.date=2014&rft.pub=%E6%B2%B3%E5%8C%97%E7%A7%91%E6%8A%80%E5%A4%A7%E5%AD%A6%E7%90%86%E5%AD%A6%E9%99%A2%2C%E6%B2%B3%E5%8C%97%E7%9F%B3%E5%AE%B6%E5%BA%84%2C050018&rft.issn=1008-1542&rft.volume=35&rft.issue=6&rft.spage=524&rft.epage=528&rft_id=info:doi/10.7535%2Fhbkd.2014yx05001&rft.externalDocID=hbkjdx201406005 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F94553A%2F94553A.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fhbkjdx%2Fhbkjdx.jpg |