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A Note on the LaSalle-Type Theorems for Stochastic Differential Delay Equations

โœ Scribed by Xuerong Mao

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
135 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

On the Existence of Periodic Solutions f
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โœ M. Feckan ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 359 KB

Bifurcations of periodic solutions are studied for certain types of weakly perturbed partial differential equations. It is shown that a bifurcation occurs for almost all (in the sense of the Lebesque measure) periodic small perturbations. A generalized implicit function theorem is applied. (" 1995 A