The significant advances in nonlinear stochastic dynamics and control in Hamiltonian
formulation during the past decade are reviewed. The exact stationary solutions and …

In this chapter, some recent stability and robust stability results on linear time-delay systems
are outlined. The goal of this guided tour is to give (without entering the details) a wide …

Since the publication of the first edition of the present volume in 1980, the stochastic stability
of differential equations has become a very popular subject of research in mathematics and …

In this paper we extend the classical susceptible-infected-susceptible epidemic model from
a deterministic framework to a stochastic one and formulate it as a stochastic differential …

This advanced undergraduate and graduate text has now been revised and updated to
cover the basic principles and applications of various types of stochastic systems, with much …

This textbook provides the first systematic presentation of the theory of stochastic differential
equations with Markovian switching. It presents the basic principles at an introductory level …

Population systems are often subject to environmental noise, and our aim is to show that
(surprisingly) the presence of even a tiny amount can suppress a potential population …

Stability of stochastic differential equations with Markovian switching has recently received a
lot of attention. For example, stability of linear or semi-linear type of such equations has …

The aim of this book is to present a recently developed approach suitable for investigating a
variety of qualitative aspects of order-preserving random dynamical systems and to give the …

Stability conditions for functional differential equations can be obtained using Lyapunov
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …