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Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients

  • David J. Prömel,
  • David Scheffels

摘要

Pathwise uniqueness is established for a class of one-dimensional stochastic Volterra equations driven by Brownian motion with singular kernels and Hölder continuous diffusion coefficients. Consequently, the existence of unique strong solutions is obtained for this class of stochastic Volterra equations.