Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1157.60065
Luo, Jiaowan
Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays. (English)
[J] J. Math. Anal. Appl. 342, No. 2, 753-760 (2008). ISSN 0022-247X

The exponential stability in the $p$-th mean and the exponential pathwise stability of mild solutions of SPDEs with delays are investigated in this paper. This is achieved by fixed-point methods, so the author makes the following assumptions: Lipschitz conditions on coefficients, exponential estimation of $C_0$-semigroup and certain technical condition connecting constants from previous assumptions. These conditions do not require the monotone decreasing behavior of the delays.
[Jacek Jakubowski (Warszawa)]

MSC 2000:: *60H15 Stochastic partial differential equations
35B35 Stability of solutions of PDE
93C15 Control systems governed by ODE

Keywords: SPDE with delays; mild solution; exponential stability

Cited in: Zbl 1177.93075

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]