Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential
New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential (p(t)y ′(t)) ′+q(t)f(y(t))=g(t) are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [ t 0,∞), rather...
Gespeichert in:
| Veröffentlicht in: | Applied mathematics and computation Jg. 135; H. 1; S. 49 - 64 |
|---|---|
| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Elsevier Inc
15.02.2003
Elsevier |
| Schlagworte: | |
| ISSN: | 0096-3003, 1873-5649 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential
(p(t)y
′(t))
′+q(t)f(y(t))=g(t)
are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [
t
0,∞), rather than on the whole half-line. Our results are of a high degree of generality and sharper than some previous results and handle the cases which are not covered by known results. Moreover, these results can also be applied to the extreme such as
∫
t
0
∞q(s)
ds=−∞
. |
|---|---|
| AbstractList | New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential
(p(t)y
′(t))
′+q(t)f(y(t))=g(t)
are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [
t
0,∞), rather than on the whole half-line. Our results are of a high degree of generality and sharper than some previous results and handle the cases which are not covered by known results. Moreover, these results can also be applied to the extreme such as
∫
t
0
∞q(s)
ds=−∞
. |
| Author | Yang, Qigui |
| Author_xml | – sequence: 1 givenname: Qigui surname: Yang fullname: Yang, Qigui email: yangqigui@263.net organization: Department of Mathematics, Zhongshan University, Guangzhou 510275, PR China |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14380689$$DView record in Pascal Francis |
| BookMark | eNqFkE1LAzEQhoMo2FZ_gpCLoIfVTDf7ETyIiB8FwYN6DtnsBCNrUpOoCP5406304MXLDBPe953JMyXbzjsk5ADYCTCoTx8YE3VRMlYeMTjOjTUFbJEJtE1ZVDUX22SykeySaYwvjLGmBj4h3wuXMHyogfqo7TCoZL2jOtj8ahU1PtCxauxpRO1dT33oMdB8w2AdqrCarVPhi_bWGAzoks1x-PY-ZkX6adPzJt1n3dKntWiP7Bg1RNz_7TPydH31eHlb3N3fLC4v7gpdlk0q5rzua2jmohNNpziA6OccGlPVnRJcYNu1ulIdiI6JquSqaltmTGVQ9yAa5OWMHK5zlypqNZignLZRLoN9zXdL4GXL6lZk3dlap4OPMaCR2qbxFykoO0hgcgVcjsDliqZkIEfgErK7-uPeLPjHd772YUbwYTHIzApdJm4D6iR7b_9J-AFx450K |
| CODEN | AMHCBQ |
| CitedBy_id | crossref_primary_10_1016_S0252_9602_11_60261_0 crossref_primary_10_1016_j_cam_2008_05_002 crossref_primary_10_1016_j_mcm_2011_01_007 crossref_primary_10_1016_j_jmaa_2006_07_109 crossref_primary_10_1002_mana_200410327 crossref_primary_10_1016_j_amc_2009_02_040 crossref_primary_10_1016_j_camwa_2008_02_024 crossref_primary_10_1016_j_amc_2007_08_033 crossref_primary_10_1016_j_amc_2009_04_072 crossref_primary_10_1016_j_jmaa_2009_05_055 crossref_primary_10_1186_s13662_016_0983_3 crossref_primary_10_1007_s10587_013_0017_1 crossref_primary_10_1016_j_cam_2006_04_052 crossref_primary_10_1016_j_mcm_2005_09_024 crossref_primary_10_1155_2009_938706 crossref_primary_10_1186_s13662_018_1931_1 crossref_primary_10_1016_j_jmaa_2011_02_073 crossref_primary_10_1155_2013_297085 crossref_primary_10_12677_AAM_2019_84092 crossref_primary_10_1016_j_jmaa_2007_02_055 crossref_primary_10_1016_j_jmaa_2007_04_021 crossref_primary_10_1155_2013_315158 crossref_primary_10_1016_j_camwa_2009_09_010 crossref_primary_10_1016_j_amc_2007_08_042 crossref_primary_10_1016_j_cam_2009_06_031 crossref_primary_10_1016_j_cam_2007_06_031 crossref_primary_10_1016_j_camwa_2006_08_040 |
| Cites_doi | 10.1137/0519047 10.1006/jmaa.1998.6059 10.1006/jmaa.1998.6159 10.1016/S0893-9659(00)00076-8 10.1090/S0002-9947-1987-0896022-5 10.1006/jmaa.1998.6259 10.1090/S0002-9939-1972-0330622-0 10.1090/S0002-9939-98-04354-8 10.1007/BF01324723 |
| ContentType | Journal Article |
| Copyright | 2002 Elsevier Science Inc. 2003 INIST-CNRS |
| Copyright_xml | – notice: 2002 Elsevier Science Inc. – notice: 2003 INIST-CNRS |
| DBID | AAYXX CITATION IQODW |
| DOI | 10.1016/S0096-3003(01)00307-1 |
| DatabaseName | CrossRef Pascal-Francis |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1873-5649 |
| EndPage | 64 |
| ExternalDocumentID | 14380689 10_1016_S0096_3003_01_00307_1 S0096300301003071 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 6J9 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABEFU ABFNM ABFRF ABJNI ABMAC ABXDB ABYKQ ACAZW ACDAQ ACGFO ACGFS ACRLP ADBBV ADEZE ADGUI ADIYS ADMUD AEBSH AEFWE AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AI. AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HLZ HMJ HVGLF HZ~ IHE J1W KOM LG9 M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ RXW SBC SDF SDG SES SEW SME SPC SPCBC SSW SSZ T5K TAE TN5 VH1 VOH WH7 WUQ X6Y XPP ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH |
| ID | FETCH-LOGICAL-c337t-246d61729b97ba4119d2417f56ba949e8b8c5ab19b09534a5880ff5fecd197e43 |
| ISICitedReferencesCount | 47 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000178888700004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0096-3003 |
| IngestDate | Mon Jul 21 09:14:04 EDT 2025 Sat Nov 29 02:45:59 EST 2025 Tue Nov 18 22:41:05 EST 2025 Fri Feb 23 02:26:29 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Second order Nonlinear Ordinary differential equation Oscillation Non linear equation Second order equation Numerical analysis Existence theorem Oscillation criterion Criterion Differential equation Forced oscillation Oscillatory potential Potential |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c337t-246d61729b97ba4119d2417f56ba949e8b8c5ab19b09534a5880ff5fecd197e43 |
| PageCount | 16 |
| ParticipantIDs | pascalfrancis_primary_14380689 crossref_citationtrail_10_1016_S0096_3003_01_00307_1 crossref_primary_10_1016_S0096_3003_01_00307_1 elsevier_sciencedirect_doi_10_1016_S0096_3003_01_00307_1 |
| PublicationCentury | 2000 |
| PublicationDate | 2003-02-15 |
| PublicationDateYYYYMMDD | 2003-02-15 |
| PublicationDate_xml | – month: 02 year: 2003 text: 2003-02-15 day: 15 |
| PublicationDecade | 2000 |
| PublicationPlace | New York, NY |
| PublicationPlace_xml | – name: New York, NY |
| PublicationTitle | Applied mathematics and computation |
| PublicationYear | 2003 |
| Publisher | Elsevier Inc Elsevier |
| Publisher_xml | – name: Elsevier Inc – name: Elsevier |
| References | Kartsatos (BIB1) 1972; 33 Agarwal, Grace (BIB10) 2000; 13 Nasr (BIB5) 1998; 126 Ei-Sayed (BIB4) 1993; 118 Kamenev (BIB9) 1978; 23 Butler, Erbe, Mingarellii (BIB2) 1987; 303 Elbert (BIB11) 1998; 226 Kong (BIB8) 1999; 229 Wong (BIB3) 1988; 19 Wong (BIB6) 1999; 231 Philos (BIB7) 1989; 53 Nasr (10.1016/S0096-3003(01)00307-1_BIB5) 1998; 126 Butler (10.1016/S0096-3003(01)00307-1_BIB2) 1987; 303 Wong (10.1016/S0096-3003(01)00307-1_BIB3) 1988; 19 Kartsatos (10.1016/S0096-3003(01)00307-1_BIB1) 1972; 33 Elbert (10.1016/S0096-3003(01)00307-1_BIB11) 1998; 226 Ei-Sayed (10.1016/S0096-3003(01)00307-1_BIB4) 1993; 118 Kamenev (10.1016/S0096-3003(01)00307-1_BIB9) 1978; 23 Kong (10.1016/S0096-3003(01)00307-1_BIB8) 1999; 229 Wong (10.1016/S0096-3003(01)00307-1_BIB6) 1999; 231 Philos (10.1016/S0096-3003(01)00307-1_BIB7) 1989; 53 Agarwal (10.1016/S0096-3003(01)00307-1_BIB10) 2000; 13 |
| References_xml | – volume: 19 start-page: 667 year: 1988 end-page: 675 ident: BIB3 article-title: Second order nonlinear forced oscillations publication-title: SIAM J. Math. Anal. – volume: 231 start-page: 235 year: 1999 end-page: 340 ident: BIB6 article-title: Oscillation criteria for a forced second order linear differential equation publication-title: J. Math. Anal. Appl. – volume: 126 start-page: 123 year: 1998 end-page: 125 ident: BIB5 article-title: Sufficient conditions for the oscillation of forced super-linear second order differential equation with oscillatory potential publication-title: Proc. Amer. Math. Soc. – volume: 303 start-page: 263 year: 1987 end-page: 282 ident: BIB2 article-title: Riccati techniques and variational principle in oscillatory theory for linear system publication-title: Trans. Amer. Math. Soc. – volume: 23 start-page: 249 year: 1978 end-page: 251 ident: BIB9 article-title: An integral criteria for oscillation of linear differential equations publication-title: Mat. Zametki. – volume: 33 start-page: 377 year: 1972 end-page: 383 ident: BIB1 article-title: Maintance of oscillations under the effect of a periodic forcing term publication-title: Proc. Amer. Math. Soc. – volume: 226 start-page: 207 year: 1998 end-page: 219 ident: BIB11 article-title: Oscillation/nonoscillation for linear second order differential equation publication-title: J. Math. Anal. Appl. – volume: 53 start-page: 483 year: 1989 end-page: 492 ident: BIB7 article-title: Oscillation theorems for linear differential equations of second order publication-title: Arch. Math. – volume: 229 start-page: 258 year: 1999 end-page: 370 ident: BIB8 article-title: Interval criteria for oscillation of second-order linear differential equation publication-title: J. Math. Anal. Appl. – volume: 118 start-page: 813 year: 1993 end-page: 817 ident: BIB4 article-title: An oscillation criteria for a forced second-order linear differential equation publication-title: Proc. Amer. Math. Soc. – volume: 13 start-page: 53 year: 2000 end-page: 57 ident: BIB10 article-title: Forced oscillation of publication-title: Appl. Math. Lett. – volume: 19 start-page: 667 year: 1988 ident: 10.1016/S0096-3003(01)00307-1_BIB3 article-title: Second order nonlinear forced oscillations publication-title: SIAM J. Math. Anal. doi: 10.1137/0519047 – volume: 226 start-page: 207 year: 1998 ident: 10.1016/S0096-3003(01)00307-1_BIB11 article-title: Oscillation/nonoscillation for linear second order differential equation publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6059 – volume: 229 start-page: 258 year: 1999 ident: 10.1016/S0096-3003(01)00307-1_BIB8 article-title: Interval criteria for oscillation of second-order linear differential equation publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6159 – volume: 13 start-page: 53 year: 2000 ident: 10.1016/S0096-3003(01)00307-1_BIB10 article-title: Forced oscillation of nth-order nonlinear differential equations publication-title: Appl. Math. Lett. doi: 10.1016/S0893-9659(00)00076-8 – volume: 303 start-page: 263 year: 1987 ident: 10.1016/S0096-3003(01)00307-1_BIB2 article-title: Riccati techniques and variational principle in oscillatory theory for linear system publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1987-0896022-5 – volume: 231 start-page: 235 year: 1999 ident: 10.1016/S0096-3003(01)00307-1_BIB6 article-title: Oscillation criteria for a forced second order linear differential equation publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6259 – volume: 33 start-page: 377 year: 1972 ident: 10.1016/S0096-3003(01)00307-1_BIB1 article-title: Maintance of oscillations under the effect of a periodic forcing term publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1972-0330622-0 – volume: 126 start-page: 123 year: 1998 ident: 10.1016/S0096-3003(01)00307-1_BIB5 article-title: Sufficient conditions for the oscillation of forced super-linear second order differential equation with oscillatory potential publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-98-04354-8 – volume: 23 start-page: 249 year: 1978 ident: 10.1016/S0096-3003(01)00307-1_BIB9 article-title: An integral criteria for oscillation of linear differential equations publication-title: Mat. Zametki. – volume: 118 start-page: 813 year: 1993 ident: 10.1016/S0096-3003(01)00307-1_BIB4 article-title: An oscillation criteria for a forced second-order linear differential equation publication-title: Proc. Amer. Math. Soc. – volume: 53 start-page: 483 year: 1989 ident: 10.1016/S0096-3003(01)00307-1_BIB7 article-title: Oscillation theorems for linear differential equations of second order publication-title: Arch. Math. doi: 10.1007/BF01324723 |
| SSID | ssj0007614 |
| Score | 1.909403 |
| Snippet | New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential
(p(t)y
′(t))
′+q(t)f(y(t))=g(t)
are... |
| SourceID | pascalfrancis crossref elsevier |
| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 49 |
| SubjectTerms | Exact sciences and technology Mathematical analysis Mathematics Nonlinear Numerical analysis Numerical analysis. Scientific computation Ordinary differential equation Ordinary differential equations Oscillation Sciences and techniques of general use Second order |
| Title | Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential |
| URI | https://dx.doi.org/10.1016/S0096-3003(01)00307-1 |
| Volume | 135 |
| WOSCitedRecordID | wos000178888700004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-5649 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007614 issn: 0096-3003 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELeqjgcQQnxqGzD5gQdQFciHE9uPE9oESEwghlSeoji2UaXShTatJo0_nnP8kXQTjD3wYrVRfbF6v_gu57vfIfQizojkishIxVJFpC5ExFIRRykMYF9URaTomk3QkxM2nfJPo9GFr4XZzOliwc7PefNfVQ3XQNmmdPYG6g5C4QJ8BqXDCGqH8Z8U38X4NsbHBOs2t6luE9gbDClzZZMmzWjO_VfmbVhOOvrNycKSZlRL891W6fruKa0Jq6ufa5c218VuvXRzRt-ctfZHQ1fX-7c_AjHsyhfRNevtBIBvLmj9efZ9PduKQ5jT38hWYvq9lZssujjb2luz_AqI7E5piUqdzbVE5ld2cxtY-BIkg89t-grw2FJb9ibMH9tfsmwh37BPZQNRpRFVxknZiSnh1XknpTlnY7Rz-P5o-iEYclpYanh_-74A7E2_ppdx8sqt50-uzd2mWsEDp22nlIH7cnof3XPvHfjQ4uUBGqnFQ3TnY6-bR-iXRw4eIAd75GDADO5GQA62yMEdcnBADvbIwUPk4IAcbJCDB8jBATmP0dfjo9O37yLXnCOqs4y2UUoKabxfLjgVFUkSLsEZpDovRMUJV0ywOq9EwoVhNCRVDoZC61yrWiacKpI9QWNYntpFuKA1uEhaac1gppYMJLMsUYomIs0V3UPE_69l7ZjrTQOVeflXve6h12FaY6lbrpvAvNJK539av7IEQF439WBLyf0NTUeHgvH9my7mKbrdP2XP0LhdrtVzdKvetLPV8sBB9Tct9LIV |
| linkProvider | Elsevier |
| 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=Interval+oscillation+criteria+for+a+forced+second+order+nonlinear+ordinary+differential+equations+with+oscillatory+potential&rft.jtitle=Applied+mathematics+and+computation&rft.au=Yang%2C+Qigui&rft.date=2003-02-15&rft.issn=0096-3003&rft.volume=135&rft.issue=1&rft.spage=49&rft.epage=64&rft_id=info:doi/10.1016%2FS0096-3003%2801%2900307-1&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0096_3003_01_00307_1 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0096-3003&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0096-3003&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0096-3003&client=summon |