Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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End date: 2003

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Now showing 1 - 6 of 6
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    LINEAR SINGULAR PERTURBATIONS OF HYPERBOLIC-PARABOLIC TYPE
    (Academia de Ştiinţe a Moldovei, 2003) Perjan, Andrei
    We study the behavior of solutions of the problem εu′′(t)+u′(t)+Au(t) =f (t), u(0) = u0, u′(0) = u1 in the Hilbert space H as ε → 0, where A is a linear,symmetric, strong positive operator.
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    ERGODIC SETS AND MIXING EXTENSIONS OF TOPOLOGICAL TRANSFORMATION SEMIGROUPS
    (Institutul de Matematică şi Informatică al AŞM, 2003) Gerco, Anatolie
    We extend the concept of the ergodic set [1] – [2] from topological trans-formation groups to topological transformation semigroups. We investigate, in par-ticular, connections between ergodicity, weak ergodicity, topological transitivity andminimality of the Whitney’s sum of extensions of topological transformation semi-groups
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    SINGULAR PERTURBATIONS OFHYPERBOLIC-PARABOLIC TYPE
    (Institutul de Matematică şi Informatică al AŞM, 2003) Perjan, Andrei
    We study the behavior of solutions of the problemεu′′(t)+u′(t)+Au(t) =f(t), u(0) =u0, u′(0) =u1in the Hilbert spaceHasε→0, whereAis a linear,symmetric, strong positive operator.
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    ON STRONG STABILITY OF LINEAR POISSON ACTIONS
    (Institutul de Matematică şi Informatică al AŞM, 2003) Glavan, Vasile; Rzeszotko, Z.
    Linear Poisson actions of the groupRmare considered. Conditions on thejoint spectrum of the generators and on the centralizers assuring stability and strongstability of the action are given. We give also some examplesof Poisson actions usingCAS”Mathematica”.
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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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    THE PACKING KNAPSACK PROBLEM, AND THE K-OPTIMAL TREE IN A WEIGHTED DIGRAPH
    (2003) Lozovanu, Dumitru
    We consider the packing knapsack problem, which generalizes the classical knapsack problem. A dynamic programming algorithm for solving this problem and its applicationto find the k-optimal tree in a weighted directed graph are discussed.