Generalized random processes and Cauchy's problem for some partial differential systems
In this paper we consider a parabolic partial differential system of the form DtHt=L(t,x,D)Ht. The generalized stochastic solutions Ht, corresponding to the generalized stochastic initial conditions H0 are given. Some properties concerning these generalized stochastic solutions are also obtained.
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| Format: | Article |
| Language: | English |
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Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171280000415 |
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| _version_ | 1849304992019644416 |
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| author | Mahmoud M. El-Borai |
| author_facet | Mahmoud M. El-Borai |
| author_sort | Mahmoud M. El-Borai |
| collection | DOAJ |
| description | In this paper we consider a parabolic partial differential system of the form DtHt=L(t,x,D)Ht. The generalized stochastic solutions Ht, corresponding to the generalized stochastic initial conditions H0 are given. Some properties concerning these generalized stochastic solutions are also obtained. |
| format | Article |
| id | doaj-art-3d4ade7cb16a4d8e8ad7064bc0ee0b3f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3d4ade7cb16a4d8e8ad7064bc0ee0b3f2025-08-20T03:55:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013354955810.1155/S0161171280000415Generalized random processes and Cauchy's problem for some partial differential systemsMahmoud M. El-Borai0Faculty of Science, King Abdulaziz University, P.O. Box 1540, Jeddah, Saudi ArabiaIn this paper we consider a parabolic partial differential system of the form DtHt=L(t,x,D)Ht. The generalized stochastic solutions Ht, corresponding to the generalized stochastic initial conditions H0 are given. Some properties concerning these generalized stochastic solutions are also obtained.http://dx.doi.org/10.1155/S0161171280000415generalized stochastic solutionsstrongly parabolic systems. |
| spellingShingle | Mahmoud M. El-Borai Generalized random processes and Cauchy's problem for some partial differential systems International Journal of Mathematics and Mathematical Sciences generalized stochastic solutions strongly parabolic systems. |
| title | Generalized random processes and Cauchy's problem for some partial differential systems |
| title_full | Generalized random processes and Cauchy's problem for some partial differential systems |
| title_fullStr | Generalized random processes and Cauchy's problem for some partial differential systems |
| title_full_unstemmed | Generalized random processes and Cauchy's problem for some partial differential systems |
| title_short | Generalized random processes and Cauchy's problem for some partial differential systems |
| title_sort | generalized random processes and cauchy s problem for some partial differential systems |
| topic | generalized stochastic solutions strongly parabolic systems. |
| url | http://dx.doi.org/10.1155/S0161171280000415 |
| work_keys_str_mv | AT mahmoudmelborai generalizedrandomprocessesandcauchysproblemforsomepartialdifferentialsystems |