The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

We study pullback attractors of non-autonomous non-compact dynamical systems generated
by differential equations with non-autonomous deterministic as well as stochastic forcing …

The existence of a pullback attractor is established for a stochastic reaction–diffusion
equation on all n-dimensional space. The nonlinearity is dissipative for large values of the …

Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

In this technical note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are
presented for nonautonomous systems described by nonlinear differential equations with …

This book offers an introduction to the theory of non-autonomous and stochastic dynamical
systems, with a focus on the importance of the theory in the Applied Sciences. It starts by …

Grzegorz Łukaszewicz Piotr Kalita An Introduction with Applications Page 1 Advances in
Mechanics and Mathematics 34 Grzegorz Łukaszewicz Piotr Kalita Navier– Stokes …

This paper is concerned with the long-time dynamics of a fluid-structure interaction problem
describing a Poiseuille inflow through a 2D channel containing a rectangular obstacle …

We first prove the existence and uniqueness of pullback and random attractors for abstract
multi-valued non-autonomous and random dynamical systems. The standard assumption of …

Nonautonomous dynamical systems provide a mathematical framework for temporally
changing phenomena, where the law of evolution varies in time due to seasonal …