Weight functions for a class of Liapunov functions in the plane
Open Access
- 1 January 1981
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 38 (4) , 497-504
- https://doi.org/10.1090/qam/614556
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
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- Liapunov functions for autonomous systems of second orderJournal of Mathematical Analysis and Applications, 1968
- Morse theory and Liapunov functionsRendiconti del Circolo Matematico di Palermo Series 2, 1964