Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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Subject: search.filters.subject.almost periodic motions

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    GLOBAL ATTRACTORS FOR V -MONOTONE NONAUTONOMOUS DYNAMICAL SYSTEMS
    (Institutul de Matematică şi Informatică al AŞM, 2003) Cheban, David; Kloeden, Peter-E.; Schmalfuss, Bjorn
    This article is devoted to the study of the compact global atrractors of Vmomotone nonautonomous dynamical systems.We give a description of the structure of compact global attractors of this class of systems. Several applications of general results for different classes of differential equations (ODEs, ODEs with impulse, some classes of evolutionary partial differential equations) are given.
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    ASYMPTOTIC STABILITY OF INFINITE-DIMENSIONAL NONAUTONOMOUS DYNAMICAL SYSTEMS
    (Academy of Sciences of Moldova, 2013) Ceban, David
    This paper is dedicated to the study of the problem of asymptotic stabil- ity for general non-autonomous dynamical systems (both with continuous and discrete time). We study the relation between diÆerent types of attractions and asymptotic stability in the framework of general non-autonomous dynamical systems. Specially we investigate the case of almost periodic systems, i.e., when the base (driving sys- tem) is almost periodic. We apply the obtained results we apply to diÆerent classes of non-autonomous evolution equations: Ordinary DiÆerential Equations, Functional DiÆerential Equations (both with Ønite retard and neutral type) and Semi-Linear Parabolic Equations