Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics
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Item THE DEVELOPMENT LANGUAGE KNOWLEDGE FOR DEVELOPMENT SPEECH RECOGNITION APPLICATION(CEP USM, 2013-09-26) Objelean, NicolaeItem PROIECTAREA SISTEMULUI EXPERT PENTRU DIAGNOSTICAREA TULBURĂRILOR PSIHICE ŞI DE COMPORTAMENT LA EPILEPSIELEPTICI(CEP USM, 2013-09-26) Popov, AlexandruItem ASUPRA π-T-QUASIGRUPURILOR(CEP USM, 2013-09-26) Ceban, DinaItem JOCURI CELEBRE REPETATE(CEP USM, 2013-09-26) Lozan, VictoriaItem INTERIORUL UNEI ELIPSE DETERMINAT LA COMPUTER(CEP USM, 2013-09-26) Zabolotnîi, Pavel; Solovei, LiliaItem REZOLVAREA PROBLEMELOR DECIZIONALE MONOCRITERIALE ÎN CONDIŢII DE INCERTITUDINE CU AJUTORUL MS EXCEL(CEP USM, 2013-09-26) Beldiga (Vasilache), Maria; Căpăţână, GheorgheItem LIMITS OF SOLUTIONS TO THE SEMILINEAR WAVE EQUATION WITH SMALL PARAMETER(Academia de Ştiinţe a Moldovei, 2006) Perjan, AndreiWe study the existence of the limits of solution to singularly perturbed initial boundary value problem of hyperbolic - parabolic type with boundary Dirichlet condition for the semilinear wave equation. We prove the convergence of solutions and also the convergence of gradients of solutions to perturbed problem to the corresponding solutions to the unperturbed problem as the small parameter tends to zero. We show that the derivatives of solution relative to time-variable possess the boundary layer function of the exponential type in the neighborhood of t = 0Item LINEAR SINGULAR PERTURBATIONS OF HYPERBOLIC-PARABOLIC TYPE(Academia de Ştiinţe a Moldovei, 2003) Perjan, AndreiWe 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.Item INVARIANT MANIFOLDS, GLOBAL ATTRACTORS AND ALMOST PERIODIC SOLUTIONS OF NONAUTONOMOUS DIFFERENCE EQUATIONS(Elsevier, 2004) Cheban, David; Mammana, CristianaThe article is devoted to the study of quasi-linear nonautonomous difference equations: invariant manifolds, compact global attractors, almost periodic and recurrent solutions and chaotic sets. First, we prove that such equations admit an invariant continuous section (an invariant manifold). Then, we obtain the conditions for the existence of a compact global attractor and characterize its structure. Third, we derive a criterion for the existence of almost periodic and recurrent solutions of the quasi-linear nonautonomous difference equations. Finally, we prove that quasi-linear maps with chaotic base admit a chaotic compact invariant set. The obtained results are applied while studying triangular maps: invariant manifolds, compact global attractors, almost periodic and recurrent solutions and chaotic sets.Item ALMOST PERIODIC SOLUTIONS AND GLOBAL ATTRACTORS OF NON-AUTONOMOUS NAVIER–STOKES EQUATIONS(Springer, 2004) Cheban, David; Duan, JinqiaoThe article is devoted to the study of non-autonomous Navier–Stokes equations. First, the authors have proved that such systems admit compact global attractors. This problem is formulated and solved in the terms of general non-autonomous dynamical systems. Second, they have obtained conditions of convergence of non-autonomous Navier–Stokes equations. Third, a criterion for the existence of almost periodic (quasi periodic, almost automorphic, recurrent, pseudo recurrent) solutions of non-autonomous Navier–Stokes equations is given. Finally, the authors have derived a global averaging principle for non-autonomous Navier–Stokes equations.