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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227539We 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.13 pagesProbability60H10, 60G17A Class of degenerate Stochastic differential equations with non-Lipschitz coefficientstext