Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Weight functions for a class of Liapunov functions in the plane


Authors: Larry R. Anderson and Sarah E. Ducich
Journal: Quart. Appl. Math. 38 (1981), 497-504
MSC: Primary 34D20
DOI: https://doi.org/10.1090/qam/614556
MathSciNet review: 614556
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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.


References [Enhancements On Off] (What's this?)

  • [1] L. Anderson, Estimates of planar regions of asymptotic stability, Quart. Appl. Math. 36, 434-438 (1979) MR 520125
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  • [6] R. Struble, Nonlinear differential equations, McGraw-Hill Book Co., Inc., New York, 1962 MR 0130408

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DOI: https://doi.org/10.1090/qam/614556
Article copyright: © Copyright 1981 American Mathematical Society

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