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
Existence and uniqueness of solution of some function-space differential equations, 1
โ Scribed by Stanley L. Boylan
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 782 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
In this paper we establish criteria for the existence and uniqueness of contractive solutions K of the Riccati equation KBK+KA&DK&C=0 under the assumption that the spectra of A and D are disjoint.
The existence and uniqueness theorem is obtained ลฝ . ลฝ ลฝ .. ลฝ . for the solution of the Cauchy problem xะ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio
A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper