Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics
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Item QUEUING SYSTEM EVOLUTION IN PHASE MERGING SCHEME(Institutul de Matematică şi Informatică al AŞM, 2008) Korolyk, V.; Mishkoy, Gheorghe; Mamonova, A.; Griz, Iu.We study asymptotic average scheme for semi-Markov queuingsystemsusing compensating operator of the corresponding extendedMarkov process. Thepeculiarity of our queuing system is that the series scheme is considered with phasemerging procedure.Item THE EULER TOUR OFN-DIMENSIONAL MANIFOLDWITH POSITIVE GENUS(Institutul de Matematică şi Informatică al AŞM, 2008) Cataranciuc, Sergiu; Bujac-Leisz, Mariana; Soltan, PetruIn the paper [1] it is proved that abstract cubicn-dimensional torus[2] possesses a directed Euler tour of the same dimension. The result prompts toa new (virtual) device for transmission and reception of information. In the presentpaper it is shown that every abstract cubicn-dimensional manifold without borders, ofpositive genus possesses an-dimensional directed Euler tour. This result has practicalapplication.Item ON NUMERICAL ALGORITHMS FOR SOLVING MULTIDIMENSIONAL ANALOGS OF THE KENDALL FUNCTIONAL EQUATION(Institutul de Matematică şi Informatică al AŞM, 2008) Mishkoy, Gheorghe; Bendersch, Olga; Giordano, Silvia; Bejan, Andrei Iu.The numerical algorithms for solution of multidimensionalanalogs of theKendall (Kendall-Takacs) equation, including effective fast algorithm are discussed.Item ATTRACTORS IN AFFINE DIFFERENTIAL SYSTEMSWITH IMPULSIVE CONTROL(Institutul de Matematică şi Informatică al AŞM, 2008) Guțu, ValeriuIn this paper we prove that an asymptotic equilibrium of an affine systemof differential equations can become a strange attractor under affine impulsive control.The linear oscillator is studied as example.Item REGULAR MAPS AND QUASILINEAR TOTAL DIFFERENTIALEQUATIONS(Institutul de Matematică şi Informatică al AŞM, 2008) Gerco, AnatolieThe bounded and S-concordant solutions of the quasilinear total differential equations with a real parameter by the nonlinearity and with a regular homogeneous part are investigated.Item SINGULARLY PERTURBED CAUCHY PROBLEM FOR ABSTRACTLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDERIN HILBERT SPACES(Institutul de Matematică şi Informatică al AŞM, 2008) Perjan, Andrei; Rusu, GalinaWe study the behavior of solutions to the problem(ε“u′′ε(t) +A1uε(t)”+u′ε(t) +A0uε(t) =f(t), t >0,uε(0) =u0, u′ε(0) =u1,in the Hilbert space H asε7→0, whereA1andA0are two linear selfadjoint operators.Item GLOBAL ATTRACTORS OF QUASI-LINEAR NON-AUTONOMOUS DIFFERENCE EQUATIONS(Institutul de Matematică şi Informatică al AŞM, 2008) Сheban, David; Mammana, Cristina; Michetti, ElisabettaThe article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations. We obtain the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a special triangular map T : R2 → R2 describing a growth model with logistic population growth rateItem ON π-QUASIGROUPS ISOTOPIC TO ABELIAN GROUPS(Institutul de Matematică şi Informatică al AŞM, 2009) Syrbu, ParascoviaAπ-quasigroup is a quasigroup satisfying one of the seven minimalidentities from the V.Belousov’s classification given in [1]. Some general results aboutπ-quasigroups isotopic to groups are obtained by V. Belousovand A. Gwaramija in [1]and [2].π-Quasigroups isotopic to abelian groups are investigated in this paperItem SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEMFOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONSIN HILBERT SPACES(Institutul de Matematică şi Informatică al AŞM, 2009) Rusu, GalinaWe study the behavior of solutions to the problem(ε“u′′ε(t) +A1uε(t)”+u′ε(t) +A0uε(t) =f(t), t >0,uε(0) =u0, u′ε(0) =u1,in the Hilbert spaceHasε→0, whereA1andA0are two linear selfadjoint operators.Item NASH EQUILIBRIA IN THE NONCOOPERATIVE INFORMATIONALEXTENDED GAMES(Institutul de Matematică şi Informatică al AŞM, 2009) Novac, LudmilaIn this article¤we will analyse informational extended games, i.e. games in which the players choose their actions simultaneously, with assumption that they have some information about the future strategies which will be chosen by other players. All informational extended games of this type will assume that players' payoff functions are common knowledge. Under these assumptions the last section will define the informational extended games and analyse Nash equilibrium and conditions of its existence. The essential result of this article is a theorem of Nash equilibrium existence in informational extended games with n players. Our treatment is based on a standard fixed point theorem which will be stated without proof in the first section.