Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



On a new extension of Liapunov's direct method to discrete equations

Authors: L. A. V. Carvalho and Raimundo R. Ferreira
Journal: Quart. Appl. Math. 46 (1988), 779-788
MSC: Primary 39A11
DOI: https://doi.org/10.1090/qam/973390
MathSciNet review: 973390
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Abstract: In this paper, a new procedure is given for applying Liapunov's direct method to autonomous discrete equations. This procedure is based on an idea that is closely related to Razumikhin's principle and it includes Liapunov's direct method as a special case. Examples are given.

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DOI: https://doi.org/10.1090/qam/973390
Article copyright: © Copyright 1988 American Mathematical Society

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