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Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property

โœ Scribed by Caraballo, T.; Liu, K.; Truman, A.


Book ID
120148841
Publisher
The Royal Society
Year
2000
Tongue
English
Weight
458 KB
Volume
456
Category
Article
ISSN
0962-8444

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Existence, Uniqueness, and Asymptotic Be
โœ Takeshi Taniguchi; Kai Liu; Aubrey Truman ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

In this paper we shall consider the existence, uniqueness, and asymptotic behavior of mild solutions to stochastic partial functional differential equations with finite delay r > 0: dX(t)=[ -AX(t)+f(t, X t )] dt+g(t, X t ) dW(t), where we assume that -A is a closed, densely defined linear operator a