A class of degenerate stochastic differential equations with non-Lipschitz coefficients

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作者
K SURESH KUMAR
机构
[1] Indian Institute of Technology Bombay,Department of Mathematics
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关键词
Degenerate SDEs; non-Lipschitz coefficients; comparison theorems;
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摘要
We obtain sufficient condition for SDEs to evolve in the positive orthant. We use arguments based on comparison theorems for SDEs to achieve this. As an application we prove the existence of a unique strong solution for a class of multidimensional degenerate SDEs with non-Lipschitz diffusion coefficients.
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页码:443 / 454
页数:11
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