Oscillation of Solutions of Second Order Mixed Nonlinear Differential Equations Under Impulsive Perturbations
| dc.contributor.author | Ozbekler, A. | |
| dc.contributor.author | Zafer, A. | |
| dc.date.accessioned | 2024-07-05T15:15:58Z | |
| dc.date.available | 2024-07-05T15:15:58Z | |
| dc.date.issued | 2011-02 | |
| dc.description | Zafer, Agacik/0000-0001-8446-1223; Ozbekler, Abdullah/0000-0001-5196-4078 | en_US |
| dc.description.abstract | New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form (r(t)Phi(alpha)(x'))' + q(t)(Phi)(x) + Sigma(n)(k=1)q(k)(t)Phi beta(k)(x ) = e(t), t not equal theta(I) x(theta(+)(i)) = ajx(theta(+)(i)) = b(i)x'(theta(i)) where Phi(gamma):= ,s vertical bar(gamma-1)s and beta(1) > beta(2) > ... > beta(m) > alpha > beta(m+1)> ... > beta(n) > beta(n) > 0. If alpha = 1 and the impulses are dropped, then the results obtained by Sun and Wong [Y.G. Sun, J.S.W. Wong, Oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities, J. Math. Anal. Appl. 334 (2007) 549-560] are recovered. Examples are given to illustrate the results. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2010.12.041 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.scopus | 2-s2.0-79651473848 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2010.12.041 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1566 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics with Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Forced equation | en_US |
| dc.subject | Mixed nonlinear | en_US |
| dc.subject | Interval criteria | en_US |
| dc.subject | Oscillation | en_US |
| dc.subject | Impulse | en_US |
| dc.title | Oscillation of Solutions of Second Order Mixed Nonlinear Differential Equations Under Impulsive Perturbations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Zafer, Agacik/0000-0001-8446-1223 | |
| gdc.author.id | Ozbekler, Abdullah/0000-0001-5196-4078 | |
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| gdc.author.wosid | Zafer, Agacik/A-1011-2009 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Zafer, A.] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; [Ozbekler, A.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 940 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 933 | en_US |
| gdc.description.volume | 61 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Oscillation | |
| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Forced equation | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Impulse | |
| gdc.oaire.keywords | Mixed nonlinear | |
| gdc.oaire.keywords | Interval criteria | |
| gdc.oaire.keywords | interval criteria | |
| gdc.oaire.keywords | oscillation | |
| gdc.oaire.keywords | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations | |
| gdc.oaire.keywords | Ordinary differential equations with impulses | |
| gdc.oaire.keywords | impulse | |
| gdc.oaire.keywords | mixed nonlinear | |
| gdc.oaire.keywords | forced equation | |
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