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In this paper, a general neutral stochastic functional differential equations with infinite delay and Lévy jumps (NSFDEwLJs) is studied. We investigate the existence and uniqueness of solutions to NSFDEwLJs at the phase space Cg under the local Carathéodory type conditions. Meanwhile, we also give the exponential estimates and almost surely asymptotic estimates of solutions to NSFDEwLJs.
- neutral stochastic functional differential equations
- Lévy jumps
- phase space Cg
- ocal Lipschitz condition
- exponential estimates
- almost surely asymptotic estimates