No 4 (2010)

Cover Page
Articles
Stability Analysis of Solutions toOne Class Quasilinear Nonautonomous Discontinuous Systems
Bezyaev V.I., Konyaev Y.A.
Abstract
Stability of solutions to one class quasilinear differential systems with normal matrices
Discrete and Continuous Models and Applied Computational Science. 2010;(4):5-10
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About Growth of Solutions to Ordinary DifferentialEquation with the Delay Argument
Shamov E.S.
Abstract
The functional-differential -order equation with unbounded operational coefficient and deviations of arguments is considered. The existence theorem of the existence of solutions decreasing rapidly compared to exponent, is proved in the article.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):11-25
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Connection of the Characteristics of Sequence of theOperators with Convergence by Bornology
Mishin S.N.
Abstract
The connection between characteristics (order and type) of sequence of linear continuous operators with convergence by equicontinuous bornology is considered.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):26-34
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NonlocalWell-Posedness of Mixed Problem for KawaharaEquation in Boundary Rectangle
Kuvshinov R.V.
Abstract
The nonlocal well-posedness of the mixed problem for the Kawahara equation in a boundary rectangle under natural conditions on a boundary data is proved.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):35-47
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Analyticity Area of Vector-Valued Functions Generatedby Regular Operator
Ivanov K.S.
Abstract
In this paper integral representation of vector-valued functions generated by regular operator is given and the problem of determining their area of analyticity is solved.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):48-54
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Discrete Inequalities of Hardy Type with Variable Limits ofSummation. I
Aiman Alkhliel -.
Abstract
The problem of necessary and sufficient couditions of validity for discrete inequalities of Hardy type with variable limits of summation in the sequence spaces is studied.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):55-68
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Construction of Euler Equationsfor a Minimization Problem
Kutsenko I.L., Victorova N.B.
Abstract
Integral equation of the first kind with incorrect kernel and incorrect right part is reduced to Euler equation for minimization of smothing functional which is formulated in terms of Nikolski-Besov.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):69-75
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Mathematical Model of a Call-Center with Two CustomerClasses
Zaripova E.R.
Abstract
Most information services contact with their clients through the call-centers. In this paper, we give a mathematical model of a call-center with two customer classes and three skillbased agent groups. Customers of each class are served not only by the one-skilled agent group but by one two-skilled agent group too. We propose formulas to obtain the main model performance measures such as blocking probabilities, mean queue lengths and probabilities of receiving service immediately. A computational example shows that the proposed model is more effective that the model with one-skilled agent groups.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):76-82
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Analysis of Two-Channel System of Service of LimitedCapacity with Buffer of Reordering and with Distributions of PhaseType
Matyushenko S.I.
Abstract
The two-channel system of service of the limited capacity with distributions of phase type is considered. On leaving the system there is a buffer in which there is a reordering of demands according to order of their receipt. The matrix reccurent algorithm of calculation of the queuing system stationary probabilities is presented.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):83-87
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The Analysis of Properties of Solutions of BoundaryProblems for the Differential Equations of High Orders
Amirkhanov I.V., Muzafarov D.Z., Sarker N.R., Sarhadov I., Sharipov Z.A.
Abstract
The relativistic generalization of potential model of a quarkonium leads to the solution of a spectroscopic problem for quasipotential equations. In that specific case the problem is reduced to the investigation of a boundary problem for the ordinary differential equation of the terminating order with arbitrary parameter at the higher derivatives. In the work the algorithm of investigation of boundary problems for the differential equations of high orders is offered. The algorithm is realized with the use of system of symbolical evaluations MAPLE. It is erected, that at → 0 some solutions coincide with the solution of the nonrelativistic Schrodinger equation. Besides, are found out, so-called frontier layer solutions; transition of one type of the solution (for example, the solution with one junction) in to another (the solution without junctions). Investigations of properties of eigenvalues and eigenfunctions are carried out at various values of .
Discrete and Continuous Models and Applied Computational Science. 2010;(4):88-98
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Mathematics Modeling of NonlinearGeneric Mechanics System in Computers Mathematic Maple
Ignatyev Y.G., Abdulla K.H.
Abstract
The algorithms and set of programs for mathematical modeling, within the frame of computer mathematics, of nonlinear generalized mechanical systems are presented. The built-insystem of programming procedures prove to obtain numerical solutions in the form of splines, splines-B and piecewise-defined functions. We define the spline operations as programming procedures permitting to perform the analytic calculations over the converted numerical solutions like over the ordinary functions.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):99-111
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Moments of Observables in Quantum Measurements Modelby Kuryshkin-Wodkiewicz
Zorin A.V.
Abstract
In the frame of constructive Kuryshkin-Wodkiewicz model of quantum measurements theory problem of calculating measured moments of observables is considered. This problem is closely related to the problem of calculating dispersions of measured values of observables, examined in details in papers of V. Kuryshkin. Values of moments and dispersions of measured observables are uniquely determined by quantum distribution function of Kuryshkin- Wodkiewicz.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):112-117
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Realization of Collective BehaviorHeuristic in Quantum Dynamics of Many Bodies
Victorova N.B., Ozhigov Y.I.
Abstract
We describe the ways of constructing algorithms for the simulation of many bodies dynamics through the heuristic of collective behavior, including Feynman path integrals, Bohm approach and the method of dynamic diffusion swarm. We discuss the adventages and drawbacks of these methods.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):118-120
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Effects of Hard Influence of Dark SectorFields on Cosmological Perturbations
Chervon S.V., Panina O.G.
Abstract
We consider Dark Sector fields evolution on the basis of dynamical equations on the background of inflationary stage of Universe. We consider energy characteristics of Dark Sector fields to be of the same order as perturbations of gravitation field and inflaton. Effects of influence of Dark Sector fields on large-scale structure formation within the example of exponential inflation are researched.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):121-132
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Spectrum Analysis Method
Lyubomudrov A.A.
Abstract
The known spectrum analysis method was improved. The improvement was done by using the auxiliary sine signal.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):133-135
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Vacuum Creation of Scalar FieldParticles in Conformal-invariant Theory of Gravitation. HamiltonianFormalism and Quantization of Relativistic Systems
Pervushin V.N., Grachev D.D.
Abstract
model of gravitation in the frameworks of the Hamiltonian (Dirac) approach is considered. The equations, setting dependence of observable density of number of scalar particles on the initial data and invariant parametre of evolution, are constructed in an explicit form. Problems of unification of principles of the General Theory of Relativity (GTR) and the Quantum Theory of Fields (QTF) within a simple example of a vacuum creation of scalar particles in conformal-invariant model of gravitation [1-3,10-14] are considered. It is shown that such model can describe both possible mechanism of such creation, and ways of its generalisation to more complex models, including Standard Model (SM). It allows to formulate some new approach to quantization of the relativistic gravitational systems, which essence is in quantization of the phase space of initial quantities as integrals of motion of the system, obtained by Bogoljubov diagonalization of the motion equations in Hamiltonian formalism, and in the proof of equivalence of such quantization to transition from classical commutative variables to their noncommutative quantum analogues. The above described scheme can be applied to initial manifolds of any finite dimension and topology.
Discrete and Continuous Models and Applied Computational Science. 2010;(4):136-144
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Nashi avtory
- -.
Abstract
Discrete and Continuous Models and Applied Computational Science. 2010;(4):145-146
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Pravila oformleniyastatey
- -.
Abstract
Discrete and Continuous Models and Applied Computational Science. 2010;(4):147-147
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