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arxiv: 0904.2629 · v1 · submitted 2009-04-17 · 🧮 math.PR

A Class of degenerate Stochastic differential equations with non-Lipschitz coefficients

classification 🧮 math.PR
keywords classcoefficientsdegeneratenon-lipschitzsdesachieveargumentscomparison
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We obtain sufficient condition for SDEs to evolve in the positive orthant. We use comparison theorem arguments to achieve this. As a result 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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