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Stochastic Versions of the LaSalle Theorem

โœ Scribed by Xuerong Mao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
151 KB
Volume
153
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Xuerong Mao ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

The main aim of this note is to improve some results obtained in the author's earlier paper (1999, J. Math. Anal. Appl. 236, 350-369). From the improved result follow some useful criteria on the stochastic asymptotic stability and boundedness.

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## Abstract A theorem published by A. Grzegorczyk in 1955 states a certain kind of effective uniform continuity of computable functionals whose values are natural numbers and whose arguments range over the total functions in the set of the natural numbers and over the natural numbers. Namely, for a