• ERGODIC SETS AND MIXING EXTENSIONS OF TOPOLOGICAL TRANSFORMATION SEMIGROUPS 

  Gerco, Anatolie (Institutul de Matematică şi Informatică al AŞM, 2003)

  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 ...
• SINGULAR PERTURBATIONS OFHYPERBOLIC-PARABOLIC TYPE 

  Perjan, Andrei (Institutul de Matematică şi Informatică al AŞM, 2003)

  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.
• ON STRONG STABILITY OF LINEAR POISSON ACTIONS 

  Glavan, Vasile; Rzeszotko, Z. (Institutul de Matematică şi Informatică al AŞM, 2003)

  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 ...
• GLOBAL ATTRACTORS FOR V -MONOTONE NONAUTONOMOUS DYNAMICAL SYSTEMS 

  Cheban, David; Kloeden, Peter-E.; Schmalfuss, Bjorn (Institutul de Matematică şi Informatică al AŞM, 2003)

  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 ...
• THE OPTIMAL FLOW IN DYNAMIC NETWORKSWITH NONLINEAR COST FUNCTIONS ON EDGES 

  Fonoberova, Maria; Lozovanu, Dmitrii (Institutul de Matematică şi Informatică al AŞM, 2004)

  In this paper we study the dynamic version of the nonlinear minimum- cost flow problem on networks. We consider the problem on dynamic networks with nonlinear cost functions on edges that depend on time and flow. Moreover, ...
• ASYMPTOTIC STABILITY OF AUTONOMOUSAND NON-AUTONOMOUS DISCRETE LINEAR INCLUSIONS 

  Cheban, David; Mammana, Cristiana (Institutul de Matematică şi Informatică al AŞM, 2004)

  The article is devoted to the study of absolute asymptotic stability ofdiscrete linear inclusions (both autonomous and non-autonomous) in Banach space.We establish the relation between absolute asymptotic stability, uniform ...
• THE SCHAUDER BASIS IN SYMMETRICALLY NORMED IDEALSOF OPERATORS 

  Spinu, Efimii (Institutul de Matematică şi Informatică al AŞM, 2004)

  In this paper we build a basis in a separable symmetrically normed ideal.
• ABSOLUTE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INCLUSIONS 

  Cheban, David; Mammana, Cristiana (Institutul de Matematică şi Informatică al AŞM, 2006)

  The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions in Banach (both finite and infinite dimensional) space. We establish the relation between absolute asymptotic stability, ...
• COLLOCATION AND QUADRATURE METHODS FOR SOLVING SINGULAR INTEGRAL EQUATIONS WITH PIECEWISE CONTINUOUS COEFFICIENTS 

  Capcelea, Titu (Institutul de Matematică şi Informatică al AŞM, 2006)

  The computation schemes of collocation and mechanical quadraturemethods for approximate solving of the complete singular integral equations withpiecewise continuous coefficients and a regular kernel with weak singularity ...
• ON THE DIVISION OF ABSTRACT MANIFOLDS IN CUBES 

  Bujac, Mariana; Cataranciuc, Sergiu; Soltan, Petru (Institutul de Matematică şi Informatică al AŞM, 2006)

  We prove that in the class of abstract multidimensional manifolds withoutborders only torusVn1of dimensionn≥1 can be divided in abstract cubes with theproperty: every faceImfromVn1is shared by 2n−mcubes,m= 0,1, . . . , ...
• NUMERICAL TREATMENT OF THE KENDALL EQUATIONIN THE ANALYSIS OF PRIORITY QUEUEING SYSTEMS 

  Bejan, Andrei (Institutul de Matematică şi Informatică al AŞM, 2006)

  We investigate here how to treat numerically the Kendall functional equa-tion occuring in the theory of branching processes and queueing theory. We discussthis question in the context of priority queueing systems with ...
• THE MULTIDIMENSIONAL DIRECTED EULER TOUROF CUBIC MANIFOLD 

  Bujac, Mariana (Institutul de Matematică şi Informatică al AŞM, 2006)

  n the paper [3] we tried to generalize the problem of existence of a di-rected (n−1)-dimensional Euler tour for the abstract directedn-dimensional manifold,which is acomplex of multi-ary relations[5], namely by means of ...
• JUNIOR SPATIAL GROUPS OF (221)-SYMMETRY 

  Shenesheutskaia, Alla (Institutul de Matematică şi Informatică al AŞM, 2006)

  The connection between junior groups of three independent kinds ofantisymmetry transformations and junior groups of (221)-symmetry, derived fromspace Fedorov groups was established. This connection allowed us to find all ...
• A TEST FOR COMPLETENESS WITH RESPECT TO IMPLICIT REDUCIBILITY IN THE CHAIN SUPER-INTUTIONISTIC LOGICS 

  Cucu, Ion V. (Institutul de Matematică şi Informatică al AŞM, 2006)

  We examine chain logicsC2, C3, . . . ,which are intermediary betweenclassical and intuitionistic logics. They are also the logics of pseudo-Boolean algebrasof type< Em,&,∨,⊃,¬>, whereEmis the chain 0< τ1< τ2<···< τm−2<1 ...
• QUEUING SYSTEM EVOLUTION IN PHASE MERGING SCHEME 

  Korolyk, V.; Mishkoy, Gheorghe; Mamonova, A.; Griz, Iu. (Institutul de Matematică şi Informatică al AŞM, 2008)

  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 ...
• THE EULER TOUR OFN-DIMENSIONAL MANIFOLDWITH POSITIVE GENUS 

  Cataranciuc, Sergiu; Bujac-Leisz, Mariana; Soltan, Petru (Institutul de Matematică şi Informatică al AŞM, 2008)

  In 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 ...
• ON NUMERICAL ALGORITHMS FOR SOLVING MULTIDIMENSIONAL ANALOGS OF THE KENDALL FUNCTIONAL EQUATION 

  Mishkoy, Gheorghe; Bendersch, Olga; Giordano, Silvia; Bejan, Andrei Iu. (Institutul de Matematică şi Informatică al AŞM, 2008)

  The numerical algorithms for solution of multidimensionalanalogs of theKendall (Kendall-Takacs) equation, including effective fast algorithm are discussed.
• ABSTRACT COMPLEXES, THEIR HOMOLOGIES AND APPLICATIONS 

  Cataranciuc, Sergiu; Soltan, Petru (Institutul de Matematică şi Informatică al AŞM, 2010)

  The complex of multi-ary relations Kn is defined in a more natural way than it was defined in [18, 58, 59]. The groups of homologies and co-homologies of this complex over the group of integer numbers are constructed. The ...
• ATTRACTORS IN AFFINE DIFFERENTIAL SYSTEMSWITH IMPULSIVE CONTROL 

  Guțu, Valeriu (Institutul de Matematică şi Informatică al AŞM, 2008)

  In 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.
• REGULAR MAPS AND QUASILINEAR TOTAL DIFFERENTIALEQUATIONS 

  Gerco, Anatolie (Institutul de Matematică şi Informatică al AŞM, 2008)

  The 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.

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