Abstracts - Facultatea de Matematică

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References: [1] A.K. Bit, M.P. Biswal and S.S. Alam, Fuzzy programming approach to multiobjective solid transportation problem, Fuzzy Sets and Systems 57 (1993), pp. 183-194. [2] R.H. Mohamed, The relationship between goal programming and fuzzy programming, Fuzzy Sets and Systems 89 (1997), pp. 215–222. [3] B.B. Pal, B.N. Moitra, U. Maulik, A goal programming procedure for fuzzy multiobjective linear programming problem, Fuzzy Sets and Systems 139 (2003), pp. 395–405. [4] L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), pp. 338–353. On Schrödinger operators with multipolar inverse-square potentials Elsa MARCHINI Dipartimento di Matematica e Applicazioni Universita di Milano-Bicocca Via R. Cozzi 53 - Edificio U5 - 20125 Milano elsa.marchini@unimib.it Positivity, essential self-adjointness, and spectral properties of a class of Schrödinger operators with multipolar inverse-square potentials are discussed. In particular a necessary and sufficient condition on the masses of singularities for the existence of at least a configuration of poles ensuring the positivity of the associated quadratic form is established. A mathematical model for the flow in a porous medium with a space and time-dependent porosity Gabriela MARINOSCHI Institute of Mathematical Statistics and Applied Mathematics Bucharest, Romania gmarino@acad.ro The paper deals with the study of the well-posedness of a model describing the water flow in a porous medium characterized by a time and space variability of the pore structure. The model consists in a parabolic partial differential equation with a blowing-up diffusivity and with initial and boundary data. The model leads to a Cauchy problem involving a time-dependent multivalued operator, for which an existence and uniqueness result is proved. 28
Petri net toolbox for MATLAB in modeling and simulation of discrete-event and hybrid systems Mihaela MATCOVSCHI and Octavian PĂSTRĂVANU Department of Automatic Control and Applied Informatics Technical University “Gh. Asachi” of Iasi Blvd. Mangeron 53A, Iasi 700050, Romania {opastrav, mhanako}@ac.tuiasi.ro The Petri Net Toolbox (PN Toolbox) for MATLAB is a software package that provides instruments for the simulation, analysis and design of the discrete-event systems modeled via the Petri net formalism. The toolbox is equipped with a user-friendly graphical interface and can handle five types of Petri nets (untimed, transition-timed, place-timed, stochastic and generalized stochastic) with finite or infinite capacity. Three simulation modes, accompanied or not by animation, are available. Dedicated procedures cover the key topics of analysis such as behavioral properties, structural properties, time-dependent performance indices, max-plus state-space representations. A design procedure is also available, based on parameterized models. The Petri Net Simulink Block (PNSB) allows the modeling and analysis of hybrid systems whose event-driven part(s) is (are) modeled based on the PN formalism. A synchronized Petri net contain transitions that are triggered by external events (corresponding to the evolution of the continuous part(s) of the hybrid system) and exports internal events, generated by transition firings, and its current marking as input signals for the continuous part(s). The PN Toolbox is included in the Connections Program of The MathWorks Inc., as a third party product. Stochastic approach for multivalued Dirichlet–Neumann problems Lucian MATICIUC and Aurel RĂS¸CANU Department of Mathematics, “Gheorghe Asachi” Technical University of Ia¸si Bd. Carol I, no. 11, Iasi - 700506, Romania lucianmaticiuc@yahoo.com Faculty of Mathematics, “Alexandru Ioan Cuza” University of Ia¸si and “Octav Mayer” Mathematics Institute of the Romanian Academy Bd. Carol I, no. 11, Ia¸si - 700506, Romania rascanu@uaic.ro We prove the existence and uniqueness of a viscosity solution of the parabolic variational inequality with a mixed nonlinear multivalued Neumann-Dirichlet boundary 29
Page 1: Faculty of Mathematics University
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Page 12 and 13: the finite dimensional case is disc
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Page 16 and 17: Boundary value problems with non-su
Page 18 and 19: Time periodic viscosity solutions o
Page 20 and 21: Derived cones to reachable sets of
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Page 24 and 25: Robust ℓ-step receding horizon co
Page 26 and 27: [2] W. W. Breckner and G. Kassay -
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Page 36 and 37: Here ∂L could mean Fréchet deriv
Page 38 and 39: We obtain results concerning Newton
Page 40 and 41: programming. We also establish comp
Page 42 and 43: A Stability Theorem for Functional
Page 44 and 45: Some new regularity conditions for
Page 46 and 47: Existence and uniqueness results in
Page 48 and 49: flow is entirely given. This method
Page 50 and 51: Joint work with Stephen Joe (Univer
Page 52: Luca-Tudorache, R., 25 rluca@hostin

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