Weight functions for a class of Liapunov functions in the plane

Autor:	Larry R. Anderson, Sarah E. Ducich
Rok vydání:	1981
Předmět:	Class (set theory) Liapunov function Plane (geometry) Applied Mathematics Mathematical analysis Mathematics
Zdroj:	Quarterly of Applied Mathematics. 38:497-504
ISSN:	1552-4485 0033-569X
DOI:	10.1090/qam/614556
Popis:	In this paper we give a class of weight functions which generate Liapunov functions for a general second-order differential system. In the special case of a Lienard equation we give conditions under which these weight functions may be chosen so as to improve certain known estimates of regions of asymptotic stability. The procedure is applied to a well-known equation and new estimates are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::95a5baaba1fe84cb66f5d5f5c47d6582 https://doi.org/10.1090/qam/614556 Zobrazit plný text záznamu