Existence and stability for stochastic partial differential equations with infinite delay
Summary: We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved.
scientific article; zbMATH DE number 7021966
scientific article