Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …

In this paper, synchronization problems of drive-response recurrent neural networks (RNNs)
with and without proportional delays are studied, which include exponential synchronization …

In this paper we show the existence and uniqueness of strong solutions for a large class of
SPDE where the coefficients satisfy the local monotonicity and Lyapunov condition (one …

This paper is concerned with the global asymptotic stability (GAS) and global polynomial
stability (GPS) of impulsive Cohen–Grossberg neural networks (ICGNNs) with multi …

This paper tackles the global polynomial periodicity (GPP) and global polynomial stability
(GPS) for proportional delay Cohen–Grossberg neural networks (PDCGNNs). By adopting …

The aim of this book is to discuss random interfaces in several of their aspects. In the case
where a phase coexistence occurs, interfaces are created to separate distinct phases. We …

We provide an abstract variational existence and uniqueness result for multi-valued,
monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general …

In this paper, we use the variational approach to investigate recurrent properties of solutions
for stochastic partial differential equations, which is in contrast to the previous semigroup …

The regularity and characterization of solutions to degenerate, quasilinear SPDE is studied.
Our results are two-fold: First, we prove regularity results for solutions to certain degenerate …

In this paper, a new decay estimate for a class of stochastic evolution equations with weakly
dissipative drifts is established, which directly implies the uniqueness of invariant measures …