Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients
Semilinear stochastic dynamic systems in a separable Hilbert space often model some evolution phenomena arising in physics and engineering. In this paper, we study the existence and uniqueness of mild solutions to neutral semilinear stochastic functional dynamic systems under local non-Lipschitz con...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/823535 |
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| _version_ | 1832551858683510784 |
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| author | Feng Jiang |
| author_facet | Feng Jiang |
| author_sort | Feng Jiang |
| collection | DOAJ |
| description | Semilinear stochastic dynamic systems in a separable Hilbert space often model some evolution phenomena arising in physics and engineering. In this paper, we study the existence and uniqueness of mild solutions to neutral semilinear stochastic functional dynamic systems under local non-Lipschitz conditions on the coefficients by means of the stopping time technique. We especially generalize and improve the results that appeared in Govinadan (2005), Bao and Hou (2010), and Jiang and Shen (2011). |
| format | Article |
| id | doaj-art-19af1f951a854312b4988498ee6d5df5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-19af1f951a854312b4988498ee6d5df52025-02-03T06:00:13ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/823535823535Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz CoefficientsFeng Jiang0School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSemilinear stochastic dynamic systems in a separable Hilbert space often model some evolution phenomena arising in physics and engineering. In this paper, we study the existence and uniqueness of mild solutions to neutral semilinear stochastic functional dynamic systems under local non-Lipschitz conditions on the coefficients by means of the stopping time technique. We especially generalize and improve the results that appeared in Govinadan (2005), Bao and Hou (2010), and Jiang and Shen (2011).http://dx.doi.org/10.1155/2013/823535 |
| spellingShingle | Feng Jiang Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients Advances in Mathematical Physics |
| title | Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients |
| title_full | Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients |
| title_fullStr | Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients |
| title_full_unstemmed | Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients |
| title_short | Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients |
| title_sort | mild solutions of neutral semilinear stochastic functional dynamic systems with local non lipschitz coefficients |
| url | http://dx.doi.org/10.1155/2013/823535 |
| work_keys_str_mv | AT fengjiang mildsolutionsofneutralsemilinearstochasticfunctionaldynamicsystemswithlocalnonlipschitzcoefficients |