Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES | International
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …

The existence and structure of uniform attractors in V is proved for nonautonomous 2D
Navier-stokes equations on bounded domain with a new class of external forces, termed …

Existence and connection of numerical attractors for discrete-time-Laplace lattice systems
via the implicit Euler scheme are proved. The numerical attractors are shown to have an …

In this survey we discuss the recent results on the existence in the sense of sequences of
solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we …

We analyze the linear theory of parabolic equations in uniform spaces. We obtain sharp Lp-
Lq-type estimates in uniform spaces for heat and Schrödinger semigroups and analyze the …

Existence of solutions for some non-Fredholm integro-differential equations with mixed
diffusion Page 1 Chapter 4 Existence of solutions for some non-Fredholm integro-differential …

In this paper we give general and flexible conditions for a reaction diffusion equation to be
dissipative in an unbounded domain. The functional setting is based on standard Lebesgue …

In this paper we prove the existence of a compact global attractor for a reaction–diffusion
equation on [TeX:]\[$\mathbb {R}^{N} $. We do not assume that the nonlinear term is …

The authors study semilinear parabolic systems on the full space ${\mathbb R}^ n $ that
admit a family of exponentially decaying pulse-like steady states obtained via translations …