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Construction of stability domains for linear differential equations with delay
| dc.contributor.author | Klevchuk, I.I. | |
| dc.contributor.author | Hrytchuk, M.V. | |
| dc.date.accessioned | 2023-09-22T20:10:42Z | |
| dc.date.available | 2023-09-22T20:10:42Z | |
| dc.date.issued | 2023-05-31 | |
| dc.identifier.citation | Klevchuk 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/10.30888/2663-5712.2023-19-01-062 | uk_UA |
| dc.identifier.issn | 2663-5712 | |
| dc.identifier.uri | https://archer.chnu.edu.ua/xmlui/handle/123456789/7392 | |
| dc.description | The 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.abstract | The 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.publisher | SWorldJournal | uk_UA |
| dc.relation.ispartofseries | SWorldJournal; | |
| dc.relation.ispartofseries | ;Issue No19, Part 1. May 2023. P. 77-83. https://doi.org/10.30888/2663-5712.2023-19-01-062 | |
| dc.subject | delay differential equation, stability domain, argument principle, D-partition | uk_UA |
| dc.title | Construction of stability domains for linear differential equations with delay | uk_UA |
| dc.title.alternative | ПОБУДОВА ОБЛАСТЕЙ СТІЙКОСТІ ЛІНІЙНИХ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ІЗ ЗАПІЗНЕННЯМ | uk_UA |
| dc.type | Article | uk_UA |
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