Integrating factors and first integrals for Liénard type and frequency-damped oscillators

dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.tr_TR
dc.contributor.orcid0000-0003-4732-5753tr_TR
dc.contributor.researcheridAAG-9947-2021tr_TR
dc.contributor.scopusid23471031300tr_TR
dc.date.accessioned2022-01-06T08:41:48Z
dc.date.available2022-01-06T08:41:48Z
dc.date.issued2011
dc.description.abstractWe consider Lienard type and frequency-damped oscillator equations. Integrating factors and the associated first integrals are derived from the method to compute lambda-symmetries and the associated reduction algorithm. The knowledge of a lambda-symmetry of the equation permits the determination of an integrating factor or a first integral by means of coupled first-order linear systems of partial differential equations. We will compare our results with those gained by the other methods.en_US
dc.identifier.citationYaşar, E. (2011). "Integrating factors and first integrals for Liénard type and frequency-damped oscillators". Mathematical Problems in Engineering, 2011, 1-11.en_US
dc.identifier.endpage11tr_TR
dc.identifier.issnhttps://www.hindawi.com/journals/mpe/2011/916437/
dc.identifier.issn1024-123X
dc.identifier.issn1563-5147
dc.identifier.scopus2-s2.0-80052662321tr_TR
dc.identifier.startpage1tr_TR
dc.identifier.urihttps://doi.org/10.1155/2011/916437
dc.identifier.urihttp://hdl.handle.net/11452/23891
dc.identifier.volume2011tr_TR
dc.identifier.wos000293582300001tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherHindawien_US
dc.relation.journalMathematical Problems in Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEngineeringen_US
dc.subjectMathematicsen_US
dc.subjectSymmetriesen_US
dc.subjectEquationsen_US
dc.subjectLinear systemsen_US
dc.subjectOscillators (mechanical)en_US
dc.subjectFirst integralen_US
dc.subjectFirst-orderen_US
dc.subjectIntegrating factoren_US
dc.subjectOscillator equationsen_US
dc.subjectReduction algorithmsen_US
dc.subjectSystems of partial differential equationsen_US
dc.subjectPartial differential equationsen_US
dc.subject.scopusSecond-order Ordinary Differential Equations; First Integral; Lie Symmetryen_US
dc.subject.wosEngineering, multidisciplinaryen_US
dc.subject.wosMathematics, interdisciplinary applicationsen_US
dc.titleIntegrating factors and first integrals for Liénard type and frequency-damped oscillatorsen_US
dc.typeArticle
dc.wos.quartileQ2 (Engineering, multidisciplinary)en_US
dc.wos.quartileQ3 (Mathematics, interdisciplinary applications)en_US

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