Strong solutions to stochastic Volterra equations
arXiv:math/0512532 · doi:10.1016/j.jmaa.2008.09.005
Abstract
In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties for stochastic convolutions are studied. Our main result provide sufficient conditions for strong solutions to stochastic Volterra equations.
16 pages. The existence of strong solutions under some general assumptions is proved. Some proofs changed and precised
Cited by in corpus (5)
- Existence, uniqueness and regularity for a class of semilinear stochastic Volterra equations with multiplicative noise
- Long-time behavior of stochastically perturbed neuronal networks
- Convolution-type stochastic Volterra equations with additive fractional Brownian motion in Hilbert space
- A series approach to stochastic Volterra equations of convolution time
- Temporal and spatial regularity of solutions to stochastic Volterra equations of convolution type