On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces
The present paper studies the initial value problem of stochastic evolution equations with compact semigroup in real separable Hilbert spaces. The existence of saturated mild solution and global mild solution is obtained under the situation that the nonlinear term satisfies some appropriate growth c...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3942707 |
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| _version_ | 1832561289383116800 |
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| author | Xuping Zhang Yongxiang Li Pengyu Chen |
| author_facet | Xuping Zhang Yongxiang Li Pengyu Chen |
| author_sort | Xuping Zhang |
| collection | DOAJ |
| description | The present paper studies the initial value problem of stochastic evolution equations with compact semigroup in real separable Hilbert spaces. The existence of saturated mild solution and global mild solution is obtained under the situation that the nonlinear term satisfies some appropriate growth conditions. The results obtained in this paper improve and extend some related conclusions on this topic. An example is also given to illustrate that our results are valuable. |
| format | Article |
| id | doaj-art-72ea6d07c066450cba9eb0a46265c7e0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-72ea6d07c066450cba9eb0a46265c7e02025-02-03T01:25:29ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/39427073942707On the Initial Value Problem of Stochastic Evolution Equations in Hilbert SpacesXuping Zhang0Yongxiang Li1Pengyu Chen2Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThe present paper studies the initial value problem of stochastic evolution equations with compact semigroup in real separable Hilbert spaces. The existence of saturated mild solution and global mild solution is obtained under the situation that the nonlinear term satisfies some appropriate growth conditions. The results obtained in this paper improve and extend some related conclusions on this topic. An example is also given to illustrate that our results are valuable.http://dx.doi.org/10.1155/2016/3942707 |
| spellingShingle | Xuping Zhang Yongxiang Li Pengyu Chen On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces Journal of Function Spaces |
| title | On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces |
| title_full | On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces |
| title_fullStr | On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces |
| title_full_unstemmed | On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces |
| title_short | On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces |
| title_sort | on the initial value problem of stochastic evolution equations in hilbert spaces |
| url | http://dx.doi.org/10.1155/2016/3942707 |
| work_keys_str_mv | AT xupingzhang ontheinitialvalueproblemofstochasticevolutionequationsinhilbertspaces AT yongxiangli ontheinitialvalueproblemofstochasticevolutionequationsinhilbertspaces AT pengyuchen ontheinitialvalueproblemofstochasticevolutionequationsinhilbertspaces |