X. Li
School of Information and Mathematics, Yangtze University, Jingzhou 434023, China and School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China.
[ 1 ] - On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays
In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory