Positivity of solution of nonhomogeneous stochastic differential equation with non-Lipschitz diffusion
We give a sufficient condition on coefficients of a nonhomogeneous stochastic differential equation with non-Lipschitz diffusion for a solution starting from arbitrary nonrandom positive point to stay positive. Some examples of application of the condition mentioned above are considered.
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| Date: | 2008 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/4570 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Positivity of solution of nonhomogeneous stochastic differential equation with non-Lipschitz diffusion / Y. Mishura, S. Posashkova // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 3-4. — С. 77-88. — Бібліогр.: 6 назв.— англ. |