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On the existence of weak solutions to stochastic Volterra equations
David J. Prömel, David Scheffels · 2022-07-04 · via math.PR updates on arXiv.org

The existence of weak solutions is established for stochastic Volterra equations with time-inhomogeneous coefficients allowing for general kernels in the drift and convolutional or bounded kernels in the diffusion term. The presented approach is based on a newly formulated local martingale problem associated to stochastic Volterra equations.

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