Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables
In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming that only a certain separate part of this system...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13657 |
| _version_ | 1819024523483152384 |
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| author | Dariusz Paczko Viktor Kulyk |
| author_facet | Dariusz Paczko Viktor Kulyk |
| author_sort | Dariusz Paczko |
| collection | DOAJ |
| description | In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming that only a certain separate part of this system was regular. Our results were generalized and improved to the wider class of dynamical systems, for which only a certain combination of components is regular. |
| first_indexed | 2024-12-21T04:56:08Z |
| format | Article |
| id | doaj.art-10d07fff219c4cc4bfda1faea14063e7 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-21T04:56:08Z |
| publishDate | 2014-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-10d07fff219c4cc4bfda1faea14063e72022-12-21T19:15:21ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-07-0119410.15388/NA.2014.4.6Some conditions of regularity of linear extensions of dynamical systems with respect to selected variablesDariusz Paczko0Viktor Kulyk1Opole University of Technology, PolandSilesian University of Technology, PolandIn this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming that only a certain separate part of this system was regular. Our results were generalized and improved to the wider class of dynamical systems, for which only a certain combination of components is regular.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13657Green's functionlinear extension of dynamical systemslinear regular extensionsweak regularityquadratic formLyapunov's function |
| spellingShingle | Dariusz Paczko Viktor Kulyk Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables Nonlinear Analysis Green's function linear extension of dynamical systems linear regular extensions weak regularity quadratic form Lyapunov's function |
| title | Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| title_full | Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| title_fullStr | Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| title_full_unstemmed | Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| title_short | Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| title_sort | some conditions of regularity of linear extensions of dynamical systems with respect to selected variables |
| topic | Green's function linear extension of dynamical systems linear regular extensions weak regularity quadratic form Lyapunov's function |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13657 |
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