" This book is a real asset for people who work in the field of operator semigroups, or want
to. It is a beauty, not only because it contains so much information, but also because the …

Многие свойства решений (ограниченность, почти периодичность, устойчивость)
линейных дифференциальных уравнений с неограниченными операторными …

Many properties of solutions to linear differential equations with unbounded operator
coefficients (their boundedness, almost periodicity, stability) are closely connected with the …

Let T={T (t)} t≥ 0 be a C0-semigroup on a Banach space X. In this paper, we study the
relations between the abscissa ωLp (T) of weak p-integrability of T (1≤ p<∞), the abscissa …

Abstract Let U=(U (t, s)) t≥ s≥ O be an evolution family on the half-line of bounded linear
operators on a Banach space X. We introduce operators GO, GX and IX on certain spaces of …

This monograph presents recent developments in spectral conditions for the existence of
periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many …

We prove that the exponential dichotomy of a strongly continuous evolution family on a
Banach space is equivalent to the existence and uniqueness of continuous bounded mild …

We study a nonlinear integral equation for a center manifold of a semilinear nonautonomous
differential equation having mild solutions. We assume that the linear part of the equation …

I i>0 J Page 1 proceedings of the american mathematical society Volume 123, Number 10,
October 1995 THE STABILITY OF POSITIVE SEMIGROUPS ON Lp SPACES LUTZ WEIS (Communicated …

Nonuniform exponential dichotomy represents the nonuniform hyperbolicity for evolution
family. Considerable efforts have been made to the relationship between the existence of …