Matches in SemOpenAlex for { <https://semopenalex.org/work/W3202235740> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W3202235740 endingPage "284" @default.
- W3202235740 startingPage "273" @default.
- W3202235740 abstract "Abstract. The stability problem of a system of differential equations with a right-hand side periodic with respect to the phase (angular) coordinates is considered. It is convenient to consider such systems in a cylindrical phase space which allows a more complete qualitative analysis of their solutions. The authors propose to investigate the dynamic properties of solutions of a non-autonomous system with angular coordinates by constructing its topological dynamics in such a space. The corresponding quasi-invariance property of the positive limit set of the system’s bounded solution is derived. The stability problem with respect to part of the variables is investigated basing of the vector Lyapunov function with the comparison principle and also basing on the constructed topological dynamics. Theorem like a quasi-invariance principle is proved on the basis of a vector Lyapunov function for the class of systems under consideration. Two theorems on the asymptotic stability of the zero solution with respect to part of the variables (to be more precise, non-angular coordinates) are proved. The novelty of these theorems lies in the requirement only for the stability of the comparison system, in contrast to the classical results with the condition of the corresponding asymptotic stability property. The results obtained in this paper make it possible to expand the usage of the direct Lyapunov method in solving a number of applied problems." @default.
- W3202235740 created "2021-10-11" @default.
- W3202235740 creator A5068175602 @default.
- W3202235740 creator A5082134758 @default.
- W3202235740 date "2021-09-30" @default.
- W3202235740 modified "2023-10-16" @default.
- W3202235740 title "On stability with respect to the part of variables of a non-autonomous system in a cylindrical phase space" @default.
- W3202235740 cites W1978023749 @default.
- W3202235740 cites W1986479705 @default.
- W3202235740 cites W2012103057 @default.
- W3202235740 cites W2026261958 @default.
- W3202235740 cites W2039372260 @default.
- W3202235740 cites W2128160655 @default.
- W3202235740 cites W2167888011 @default.
- W3202235740 cites W2913071967 @default.
- W3202235740 doi "https://doi.org/10.15507/2079-6900.23.202103.273-284" @default.
- W3202235740 hasPublicationYear "2021" @default.
- W3202235740 type Work @default.
- W3202235740 sameAs 3202235740 @default.
- W3202235740 citedByCount "0" @default.
- W3202235740 crossrefType "journal-article" @default.
- W3202235740 hasAuthorship W3202235740A5068175602 @default.
- W3202235740 hasAuthorship W3202235740A5082134758 @default.
- W3202235740 hasBestOaLocation W32022357401 @default.
- W3202235740 hasConcept C105815890 @default.
- W3202235740 hasConcept C112972136 @default.
- W3202235740 hasConcept C119857082 @default.
- W3202235740 hasConcept C121332964 @default.
- W3202235740 hasConcept C134306372 @default.
- W3202235740 hasConcept C151342819 @default.
- W3202235740 hasConcept C158622935 @default.
- W3202235740 hasConcept C167964875 @default.
- W3202235740 hasConcept C2456702 @default.
- W3202235740 hasConcept C28826006 @default.
- W3202235740 hasConcept C33923547 @default.
- W3202235740 hasConcept C34388435 @default.
- W3202235740 hasConcept C41008148 @default.
- W3202235740 hasConcept C41949839 @default.
- W3202235740 hasConcept C60640748 @default.
- W3202235740 hasConcept C62520636 @default.
- W3202235740 hasConcept C97355855 @default.
- W3202235740 hasConceptScore W3202235740C105815890 @default.
- W3202235740 hasConceptScore W3202235740C112972136 @default.
- W3202235740 hasConceptScore W3202235740C119857082 @default.
- W3202235740 hasConceptScore W3202235740C121332964 @default.
- W3202235740 hasConceptScore W3202235740C134306372 @default.
- W3202235740 hasConceptScore W3202235740C151342819 @default.
- W3202235740 hasConceptScore W3202235740C158622935 @default.
- W3202235740 hasConceptScore W3202235740C167964875 @default.
- W3202235740 hasConceptScore W3202235740C2456702 @default.
- W3202235740 hasConceptScore W3202235740C28826006 @default.
- W3202235740 hasConceptScore W3202235740C33923547 @default.
- W3202235740 hasConceptScore W3202235740C34388435 @default.
- W3202235740 hasConceptScore W3202235740C41008148 @default.
- W3202235740 hasConceptScore W3202235740C41949839 @default.
- W3202235740 hasConceptScore W3202235740C60640748 @default.
- W3202235740 hasConceptScore W3202235740C62520636 @default.
- W3202235740 hasConceptScore W3202235740C97355855 @default.
- W3202235740 hasIssue "3" @default.
- W3202235740 hasLocation W32022357401 @default.
- W3202235740 hasOpenAccess W3202235740 @default.
- W3202235740 hasPrimaryLocation W32022357401 @default.
- W3202235740 hasRelatedWork W1963827486 @default.
- W3202235740 hasRelatedWork W2001801852 @default.
- W3202235740 hasRelatedWork W2036377359 @default.
- W3202235740 hasRelatedWork W2089480326 @default.
- W3202235740 hasRelatedWork W2141078228 @default.
- W3202235740 hasRelatedWork W2378841998 @default.
- W3202235740 hasRelatedWork W2734649795 @default.
- W3202235740 hasRelatedWork W2912506578 @default.
- W3202235740 hasRelatedWork W3198848997 @default.
- W3202235740 hasRelatedWork W3202235740 @default.
- W3202235740 hasVolume "23" @default.
- W3202235740 isParatext "false" @default.
- W3202235740 isRetracted "false" @default.
- W3202235740 magId "3202235740" @default.
- W3202235740 workType "article" @default.