The existence and uniqueness theorem is obtained Ε½ . Ε½ Ε½ .. Ε½ . for the solution of the Cauchy problem xΠ 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
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Solutions of the cauchy problem for the polyharmonic equation (uniqueness and approximation)
β Scribed by Z. A. Arushanyan
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 476 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
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## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for