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Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string

dc.contributor.authorKrylovas, Aleksandras
dc.contributor.authorLavcel-Budko, Olga
dc.contributor.authorMiškinis, Paulius
dc.date.accessioned2023-09-18T18:38:28Z
dc.date.available2023-09-18T18:38:28Z
dc.date.issued2010
dc.identifier.issn1392-5113
dc.identifier.other(BIS)VGT02-000022621
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/130002
dc.description.abstractThe mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed. A method for constructing special approximations of its solutions is proposed.eng
dc.format.extentp. 307-323
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyMathSciNet
dc.relation.isreferencedbyIndex Copernicus
dc.relation.isreferencedbyChemical abstracts
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyZentralblatt MATH (zbMATH)
dc.source.urihttps://www.journals.vu.lt/nonlinear-analysis/article/view/14327/13220
dc.titleAsymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references11
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionMykolo Romerio universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.enPerturbation methods
dc.subject.enAveraging
dc.subject.enNonlinear waves
dc.subject.enResonance
dc.subject.enApproximations
dcterms.sourcetitleNonlinear analysis : modelling and control
dc.description.issueno. 3
dc.description.volumeVol. 15
dc.publisher.nameInstitute of Mathematics and Informatics
dc.publisher.cityVilnius
dc.identifier.elaba3939969


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