Existence and exponential stability of second-order neutral stochastic functional differential equations with infinite delay and Poisson jumps

In this work, we study the existence and uniqueness of mild solutions to second-order neutral stochastic functional differential equations (NSFDEs) with infinite delay and Poisson jumps under global and local Caratheodory conditions by means of the successive approximation. The p-th moment exponential stability of mild solution to second-order NSFDEs with infinite delay and poisson jumps is also studied. Further, example is given to illustrate the proposed theory.