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LaSalle-Type Theorems for Stochastic Differential Delay Equations

✍ Scribed by Xuerong Mao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
137 KB
Volume
236
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

A Note on the LaSalle-Type Theorems for
A Note on the LaSalle-Type Theorems for Stochastic Differential Delay Equations
✍ Xuerong Mao πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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.

Comparison Theorems for Functional Diffe
Comparison Theorems for Functional Differential Equations
✍ Jozef DΕΎurina πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 374 KB

## Abstract Our aim in this paper is to obtain the comparison principles which extend those of Grace and LALLI. The equations. L~n~u(t)Β±f(t, u[g(t)]= 0 are compared with the equations. M~n~u(t)Β±z(t)h([Ο„(t)])= 0.

Quarkonial decomposition suitable for fu
Quarkonial decomposition suitable for functional-differential equations of delay type
✍ Yoshihiro Sawano; Tsuyoshi Yoneda πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 171 KB

## Abstract In this paper we apply quarkonial decomposition to the ordinary differential equation of delay type __f__ β€²(__x__) = __f__ (__x__ – 1), __x__ β‰₯ 1. We shall derive an explicit formula in terms of the quarkonial decomposition. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)