Stochastic antiderivational equations on non-Archimedean Banach spaces
Stochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Ga...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203108150 |
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doaj-0c77cf89f3684f6889fe3474f095b8e02020-11-24T21:54:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003412587260210.1155/S0161171203108150Stochastic antiderivational equations on non-Archimedean Banach spacesS. V. Ludkovsky0Theoretical Department, Institute of General Physics, 38 Vavilov Street, Moscow 119991, GSP-1, RussiaStochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Gaussian measure.http://dx.doi.org/10.1155/S0161171203108150 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. V. Ludkovsky |
| spellingShingle |
S. V. Ludkovsky Stochastic antiderivational equations on non-Archimedean Banach spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
S. V. Ludkovsky |
| author_sort |
S. V. Ludkovsky |
| title |
Stochastic antiderivational equations on non-Archimedean Banach spaces |
| title_short |
Stochastic antiderivational equations on non-Archimedean Banach spaces |
| title_full |
Stochastic antiderivational equations on non-Archimedean Banach spaces |
| title_fullStr |
Stochastic antiderivational equations on non-Archimedean Banach spaces |
| title_full_unstemmed |
Stochastic antiderivational equations on non-Archimedean Banach spaces |
| title_sort |
stochastic antiderivational equations on non-archimedean banach spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
Stochastic antiderivational equations on Banach spaces over local
non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Gaussian measure. |
| url |
http://dx.doi.org/10.1155/S0161171203108150 |
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AT svludkovsky stochasticantiderivationalequationsonnonarchimedeanbanachspaces |
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1725868112252764160 |