On stability of annth-order equation in a critical case
We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomousnth-order equation in the case where the root of the boundary characteristic equation is equal to zero and has multiplicity greater than one.
Gespeichert in:
| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5511 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511739330691072 |
|---|---|
| author | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. |
| author_facet | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. |
| author_sort | Vitrychenko, I. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:10Z |
| description | We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomousnth-order equation in the case where the root of the boundary characteristic equation is equal to zero and has multiplicity greater than one. |
| first_indexed | 2026-03-24T03:17:41Z |
| format | Article |
| fulltext |
0130
0131
0132
0133
0134
0135
|
| id | umjimathkievua-article-5511 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:41Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d9/a3638e652f02b70e2e57c2cdae31a5d9.pdf |
| spelling | umjimathkievua-article-55112020-03-19T09:12:10Z On stability of annth-order equation in a critical case К устойчивости одного уравнения $n$-го порядка в одном критическом случае Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomousnth-order equation in the case where the root of the boundary characteristic equation is equal to zero and has multiplicity greater than one. Одержано достатні умови стійкості за Ляпуновим тривіального розв'язку неавтономного рівняння $n$-го порядку в критичному випадку кратного нульового кореня граничного характеристичного рівняння. Institute of Mathematics, NAS of Ukraine 1995-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5511 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 8 (1995); 1138–1143 Український математичний журнал; Том 47 № 8 (1995); 1138–1143 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5511/7710 https://umj.imath.kiev.ua/index.php/umj/article/view/5511/7711 Copyright (c) 1995 Vitrychenko I. E. |
| spellingShingle | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. On stability of annth-order equation in a critical case |
| title | On stability of annth-order equation in a critical case |
| title_alt | К устойчивости одного уравнения $n$-го порядка в одном критическом случае |
| title_full | On stability of annth-order equation in a critical case |
| title_fullStr | On stability of annth-order equation in a critical case |
| title_full_unstemmed | On stability of annth-order equation in a critical case |
| title_short | On stability of annth-order equation in a critical case |
| title_sort | on stability of annth-order equation in a critical case |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5511 |
| work_keys_str_mv | AT vitrychenkoie onstabilityofannthorderequationinacriticalcase AT vitričenkoie onstabilityofannthorderequationinacriticalcase AT vitričenkoie onstabilityofannthorderequationinacriticalcase AT vitrychenkoie kustojčivostiodnogouravneniângoporâdkavodnomkritičeskomslučae AT vitričenkoie kustojčivostiodnogouravneniângoporâdkavodnomkritičeskomslučae AT vitričenkoie kustojčivostiodnogouravneniângoporâdkavodnomkritičeskomslučae |