No 3 (2012)

Cover Page
Articles
Inverse Problem of Determination of Source Function in Nondivergent Parabolic Equation
Kamynin V.L., Bukharova T.I.
Abstract
We obtain unique solvability for the inverse problem of determination of the unknown righthand side in multidimensional nondivergent parabolic equation. The additional information is included in the integral ∫︀ 0 (, )()d, where () is a given weight function. We adduce the examples of the inverse problems satisfying the conditions imposed.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):5-12
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Problems of Stabilization and Optimal Stabilization of Non-Linear Controlled Systems
Shchennikov A.V., Shchennikov V.N., Vagapova J.J.
Abstract
Problems of stabilization and optimal stabilization due to V. V. Rumjantsev concerning a part of variables for non-linear controlled systems are solved.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):13-19
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About Regular and Singular Perturbation System of ODE Polynomial Type with Singularity
Konyaev Y.A., Mergia W.B., Khoa Nguyen Viet -.
Abstract
Using the anagy method we study the structure of solutions to some regugar and singular perturbed model systems of ODE, the problems with power behavior of boundary layer being included.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):20-24
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Variational Principles for the Differential DifferenceOperator of the Second Order
Kolesnikova I.A.
Abstract
The purpose of the present paper is to investigate the potentiality of the operator of differential difference equations and to construct of the functional, if the given operator is a potential on a given set relatively to the some bilinear form.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):25-34
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Streaming and Elastic Traffic in Closs Networks
Basharin G.P., Russina N.V.
Abstract
Rapid progress in telecommunications which started in the end of 20th century raises new teletraffic problems. The result of the convergence of different networks stems that set of different traffic types should be served by the system. These types differ by their characteristics, in network bandwidth and Quality of Service (QoS) requirements. Diverse consumer needs, variety of on-line services and high-speed Internet access joined in the same system generate large amount of traffic most part of which includes elastic traffic. Multi-rate communication systems, developed at the beginning of 21th century as a result of engineering progress, are able to serve elastic traffic with variable rate depending on the number of prioritized streaming requests being processed in parallel. Specific characteristics of elastic traffic do not allow us to use Erlang multi-rate loss model for simulation of modern telecommunication systems. This paper concerns Erlang-like multi-service loss model of an adaptive multi-rate system for streaming and elastic traffic, where a set of bandwidth requirements corresponds to each type of elastic traffic. A bandwidth requirement is assigned to an entered elastic request depending on occupied bandwidth. The results obtained in the paper are applied to calculation of QoS parameters of the Closs network topology which is widely used in modern switching networks.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):35-42
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Algorithm of Symbolic-Numeric Calculation Green Function for Differential Equations of Second Order
Belyaeva I.N., Bogachev E.V., Chekanov N.A.
Abstract
We develop algorithm and program of the symbolic-numeric construction of the Green function, in general, in the form of generalized power series for the ordinary differential equation of the second order with the first type boundary conditions that could consist the specific regular points. Examples of constructing the Green function for some boundary problems are given that show the efficiency of the developed program.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):43-51
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Mathematical and Computer Modeling of Non-linear Deformation Waves in Shell with Viscous Liquid Inside
Blinkov Y.A., Ivanov S.V., Mogilevich L.I.
Abstract
The present investigation is devoted to the analysis of non-linear deformation waves propagation in physically non-linear elastic cylinder shell, containing viscous incompressible liquid. Wave processes in elastic cylinder shell without interaction with liquid were investigated earlier on the basis of soliton theory. The presence of liquid needs development of a new mathematical model and computer modeling of the processes, taking place in the system.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):52-60
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Spot Electricity Prices Modelling with Regime Switching Models
Shchetinin E.Y., Kaplunov S.V., Markov P.N.
Abstract
We address the issue of modeling spot electricity prices with regime switching models. After reviewing the stylized facts about power markets we propose and fit various models to spot prices from german energy market EEX. Afterwards we assess their performance by comparing simulated and market prices. Our empirical study shows that (1) models with MRS are more realistic for spikes and jumps and (2) introducing herteroskedastiсity in the base regime model leads to better spike identification and goodness-of-fit than in MRS models with mean-reverting, constant volatility dynamics.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):61-68
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Introduction of Self-Consistent Term in Stochastic Population Model Equation
Demidova A.V., Kulyabov D.S.
Abstract
In this paper we consider a mechanism to obtain stochastic differential equation with a consistent stochastic and deterministic parts.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):69-78
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Numerical Investigation of Parameters in the Model of Gradient Optical Waveguide with Equidistant Spectrum of Waveguide Modes
Puzynina T.P., Thach Vo Trong -.
Abstract
By numerical solving of a parametric inverse Sturm-Liouville problem, investigation of the model of a planar optical waveguide with a gradient exponential profile of the refractive index has been done to determine the profile parameters providing proximity of the waveguide modes spectrum to an equidistant one.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):79-86
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The Condition of Explicitness and the Diagonal Implicitness for Composition of Runge-Kutta Method with its Adjoint One
Gevorkyan M.N.
Abstract
The paper addresses three topics: the adjoint Runge-Kutta methods, the composition of several Runge - Kutta methods and symplectic partitioned Runge-Kutta methods. A connection between the explicitness or diagonal implicitness for adjoint Runge-Kutta methods and conditions of a partitioned symplectic Runge-Kutta methods.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):87-96
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Modeling of Kinematic Properties and Dynamics Control of Systems with Program Constraints
Matukhina O.V.
Abstract
The present paper proposes the differential equations systems construction method which is used for determination of non-stationary nonholonomic constraints equations. The problem of dynamic equations construction is considered based on the integral variation principle. The expressions for control forces acting on the system in order to ensure consistence with constraints equations imposed on the system, are determined. Some results of solving the applied problems illustrate efficiency of the described methods.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):97-103
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Nonimpact Reducing Mechanical Systems to Holonomic Programmed Set During Finite Time Under Indeterminancy Conditions
Mukhametzyanov I.A.
Abstract
The procedure of constructing the controls algorithm of the nonimpact reduction of the mechanics systems to holonomic programmed set in finite time under indeterminancy is proposed.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):104-114
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On Cosmological Solutions with Sigma-Model Source
Golubtsova A.A., Ivashchuk V.D.
Abstract
A multidimensional model of gravity with a sigma-model action for scalar fields is considered. The gravitational model is defined on the manifold, which contains n Einstein factor spaces. General cosmological-type solutions to the field equations are obtained when n−1 factor-spaces are Ricci-flat. The solutions are defined up to solutions of geodesic equations corresponding to a sigma-model target space. Several examples of sigma-models are considered. A subclass of non-singular solutions is singled-out for the case when all factor-spaces are Ricci-flat.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):115-128
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Nonlinear Model of the Earth Atmosphere with Regard to Rocket and Satellite Data
Rabinowitch A.S., Abakumov S.Y.
Abstract
The well-known model of the Earth standard atmosphere becomes unsatisfactory when altitudes are higher than 150 km. That is why in the paper a new model of the atmosphere is proposed. In this model strong electric fields in the Earth atmosphere are taken into account and described by means of the SU(2) Yang-Mills nonlinear generalization of the Maxwell equations. It is shown that the proposed nonlinear model is in a good balance with experimental data in the considered range of altitudes from zero to 1000 km.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):129-137
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Chiral 8-Spinor Model with Pseudo-Vector Interaction
Rybakov Y.P., Farraj N., Umniyati Y.
Abstract
In the paper the structure of the chiral 8-spinor field model is discussed, the interaction with the electromagnetic, Yang-Mills and gravitational fields being included.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):138-141
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Method of Singular Sources in Application to Electrovacuum Gravitational Einstein Fields
Gutsunaev T.I., Shaideman A.A., Terletsky A.Y.
Abstract
By means of the method of singular sources it is possible to construct a generalization of gravitational magnetic dipole.
Discrete and Continuous Models and Applied Computational Science. 2012;(3):142-146
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Nashi avtory
- -.
Abstract
Discrete and Continuous Models and Applied Computational Science. 2012;(3):147-148
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