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

This paper deals with the problem of delay-range-dependent robust passivity analysis uncertain neutral-type neural networks distributed interval time-varying delay under effects leakage delay. The uncertainties consideration are norm-bounded and restriction on derivative discrete delays is removed, which means that a fast allowed. By applying novel Lyapunov-Krasovskii functional approach, impro...

We develop an inventory model to determine optimal ordering policy under permissible delay in payment by considering demand rate to be stock dependent. Mathematical models are derived under two different cases: credit period being greater than or equal to cycle time for settling the account, and credit period being less than or equal to cycle time for settling the account. The results are illus...

Wallerian degeneration is an innate immune response which occurs after some kinds of nerve damages such as neurodegenerative disease and acute axonal injury. In clinic, dexamethasone as an anti-inflammatory drug has been used for many years to treat nerve injuries. In present study, we aimed to study the effects of various doses of dexamethasone on the Wallerian degeneration in rat. Twentyseven ...