In most physical, chemical, biological and economic phenomena it is quite natural to
assume that the system not only depends on the present state but also on past occurrences …

We study spectral properties of 2× 2 block operator matrices whose entries are unbounded
operators between Banach spaces and with domains consisting of vectors satisfying certain …

PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONAUTONOMOUS PAST IN
Lp− PHASE SPACES 1. Introduction Recently, A. Bátkai and Page 1 Differential and …

We characterize the exponential dichotomy of non-autonomous partial functional differential
equations by means of a spectral condition extending known characteristic equations for the …

We study retarded parabolic non-autonomous evolution equations whose coefficients
converge as $ t\to\infty $, such that the autonomous problem in the limit has an exponential …

We consider linear partial differential equations with an additional delay term, which–under
spatial discretization–lead to ordinary differential equations with fixed delay of retarded type …

We consider well-posedness and stability of abstract partial differential equations with
unbounded operators in their delay terms. We show that the problem is equivalent to an …

Strong and polynomial stability for delay semigroups | SpringerLink Skip to main content
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In this paper, we study polynomial stability of the delay semigroup associated with the delay
equation u (t)= Bu (t)+ Φut, where ut is the history function, Φ∈ L (W1, p ([− 1, 0], X), X) is the …

Robustness with respect to small time-varied delay for linear dynamical systems on Banach
spaces Page 1 STUDIA MATHEMATICA 163 (3) (2004) Robustness with respect to small …