Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with H-regular noise
โ Scribed by H. Schurz
- Book ID
- 108175747
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 168 KB
- Volume
- 332
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic functional differential equations with infinite delay at phase space BC((-โ, 0]; R d ) which denotes the family of bounded continuous R d -value functions defined on (-โ, 0] with norm = sup -โ< 0 | ( )|
We consider the Fourier first initial-boundary value problem for a weakly coupled infinite system of semilinear parabolic differential-functional equations of reaction-diffusion type in arbitrary (bounded or unbounded) domain. The right-hand sides of the system are functionals of unknown functions o