Construction of stability domains for linear differential equations with delay

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dc.contributor.authorKlevchuk, I.I.
dc.contributor.authorHrytchuk, M.V.
dc.date.accessioned2023-09-22T20:10:42Z
dc.date.available2023-09-22T20:10:42Z
dc.date.issued2023-05-31
dc.descriptionThe aim of the present article is to investigate of solutions stability of linear autonomous differential equations with retarded argument. It is obtained the necessary and sufficient conditions, for all the roots of the characteristic equation to have negative real part. We investigate the boundedness conditions and construct a domain of stability for linear autonomous differential equation with several delays. We use D-partition method, argument principle and numerical methods to construct of stability domains.uk_UA
dc.description.abstractThe aim of the present article is to investigate of solutions stability of linear autonomous differential equations with retarded argument. It is obtained the necessary and sufficient conditions, for all the roots of the characteristic equation to have negative real part. We investigate the boundedness conditions and construct a domain of stability for linear autonomous differential equation with several delays. We use D-partition method, argument principle and numerical methods to construct of stability domains.uk_UA
dc.identifier.citationKlevchuk I.I., Hrytchuk M.V. Construction of stability domains for linear differential equations with delay. SWorldJournal. Issue No19, Part 1. May 2023. P. 77-83. https://doi.org/10.30888/2663-5712.2023-19-01-062uk_UA
dc.identifier.issn2663-5712
dc.identifier.urihttps://archer.chnu.edu.ua/xmlui/handle/123456789/7392
dc.publisherSWorldJournaluk_UA
dc.relation.ispartofseriesSWorldJournal;
dc.relation.ispartofseries;Issue No19, Part 1. May 2023. P. 77-83. https://doi.org/10.30888/2663-5712.2023-19-01-062
dc.subjectdelay differential equation, stability domain, argument principle, D-partitionuk_UA
dc.titleConstruction of stability domains for linear differential equations with delayuk_UA
dc.title.alternativeПОБУДОВА ОБЛАСТЕЙ СТІЙКОСТІ ЛІНІЙНИХ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ІЗ ЗАПІЗНЕННЯМuk_UA
dc.typeArticleuk_UA

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