Vol 22, No 1-2 (2016)

Full Issue

Статьи

CORRECTNESS OF THE LOCAL BOUNDARY VALUE PROBLEM IN A CYLINDRICAL DOMAIN FOR ONE CLASS OF MULTIDIMENSIONAL ELLIPTIC EQUATIONS

Aldashev S.A.

Abstract

Correctness of boundary value problems in a plane for elliptical equations has been studied properly using the method of the theory of analytic functions. At investigation of analogous problems, when the number of independent variables is more than two, there arise principle difficulties. Quite good and convenient method of singular integral equations has to be abandoned because there is no complete theory of multidimensional singular integral equations. Boundary value problems for second-order elliptical equations in domains with edges have been studied properly earlier. Explicit classical solutions to Dirichlet and Poincare problems in cylindrical domains for one class of multidimensional elliptical equations can be found in the author’s works. In this article,the author proved that the local boundary value problem, which is the generalization of Dirichet and Poincare problem, has only solution. Besides, the criterion of uniqueness of regular solution is obtained.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):7-17
pages 7-17 views

CUSP FORMS WITH CHARACTERS OF THE LEVEL P4

Voskresenskaya G.V.

Abstract

In the article we prove structure theorems for spaces of cusp forms with characters of a level p. The spaces are decomposed in the direct sum of three subspaces. The first subspace is essencial. The eta-quotions play an important role in the investigations. The divisor of the functions is concentrated in cusps. The theorem about the structure of spaces of modular forms with characters is proved. We discuss the question about generators of these spaces and K.Ono’s problem. Dimensions of spaces are calculated by the Cohen — Oesterle formula, the orders in cusps are calculated by the Biagioli formula.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):18-26
pages 18-26 views

INVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION

Duzheva A.V.

Abstract

In this article, we consider a question of sovability of an inverse problem for a linear hyprbolic equation. Properties of the solution of an associated nonlocal initial-boundary problem with displacement in boundary conditions are used to develop an existence result for the identification of the unknown source. Overdetermination is represented as integral with respect to time-variable.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):27-32
pages 27-32 views

A PROBLEM WITH SECOND KIND INTEGRAL CONDITIONS FOR HYPERBOLIC EQUATION

Pulkina L.S., Savenkova A.E.

Abstract

In this paper, we consider a problem for one-dimensional hyperbolic equation with second kind integral conditions and prove unique solvability. To prove this statement we suggest a new approach. The main idea of it is that given nonlocal integral condition is equivalent with a different condition, nonlocal as well but this new condition enables us to introduce a definition of a generalized solution bazed on an integral identity and derive a priori estimates of a required solution in Sobolev space. This approach shows that integral conditions are closely connected with dynamical conditions.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):33-45
pages 33-45 views

ON PERFECT IMITATION RESISTANT CIPHERS BASED ON COMBINATORIAL OBJECTS

Ratseev S.M., Ratseev V.M.

Abstract

We study perfect imitation resistant ciphers, highlighting particularly the case in which the probabilities of successful imitation and substitution attain their lower limits. On the basis of A.Yu. Zubov’s mathematical model of substitution cipher with unbounded key model of perfect and imitation resistant cipher based on combinatorial objects is constructed.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):46-50
pages 46-50 views

INJECTING GAS INTO THE WATER-FILLED POROSITY RESERVOIRS WITH THE FORMATION OF HYDRATES IN THE DIFFUSION MODE

Rafikova G.R., Shagapov V.S.

Abstract

The paper considers the problem of injecting gas into the porous layer initially saturated with gas and water, accompanied by formation of hydrate. We have investigated case where the intensity of hydrate is limited by diffusion of water through the hydrate layer formed between water and gas in the core of the pore of the channel. As part of this scheme kinetics of hydrate is determined one empirical parameter D having the dimension of the diffusion coefficient (m2/s). We have analyzed effect of the value of this parameter on the features of the process of hydrate formation, depending on the parameters that define the initial state of porous reservoir and reservoir characteristics.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):51-61
pages 51-61 views

MODELING THE DYNAMICS OF PRESSURE AND TEMPERATURE IN THE RESERVOIR WITH HEAVY OIL WHEN HEATED

Shagapov V.S., Yumagulova Y.A., Gizzatullina A.A.

Abstract

In radially symmetric formulation is built and investigated mathematical model of the problem of heated heavy oil reservoir by horizontal well and the possibility of further operation of the well for the selection of oil with reduced viscosity. The resulting system of equations reveals the dynamics of the process, to evaluate the characteristics of the distance of penetration of filtration and thermal waves over the period.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):62-68
pages 62-68 views

INFLUENCE OF INITIAL DISLOCATION STRUCTURE ON POINT AND MICROSCOPIC DEFECTS KINETIC UNDER IRRADIATION

Kornilov D.A., Kosenkov V.M., Silantev P.P.

Abstract

This work is aimed for justification of quantitative effect of radiation defect concentration decreasing in materials depending on density of edge dislocation which are their outlet. The results of defect kinetics modeling with taking into account their recombination on dislocation loops, edge dislocations and pores are given. The summery of this work is useful in the frame of solving problem of decreasing radiation swelling and material properties degradation during neutron irradiation.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):69-84
pages 69-84 views

ROLE OF POLYMORPHIC GENE VARIANTS SOD2, GSTT1, GSTM1 AND GSTP1 IN THE DEVELOPMENT OF BREAST CANCER OF WOMEN OF CHECHEN POPULATION

Bisultanova Z.I., Atsayevа M.M., Dzhambetova P.M.

Abstract

In the study, we investigated the role of polymorphic variants of genes of antioxidant protection SOD2 T / C (Ala16Val), GSTP1 A / G (Ile105Val), GSTM1 and GSTT1 Ins /Delin the development of malignancies (External testing) chest 564 women (208 women diagnosed with breast cancer (BC), 356 control group) of the Chechen population. For the studied populations have an increased frequency of polymorphisms Ala16Val, associated with the formation of malignant tumors, including breast External testing, but the differences are statistically insignificant character. The results showed no association between the presence of polymorphic variants SOD2 Ala16Val (T / C), GSTP1 (A / G), as well as deletions of genes GSTM1 and GSTT1 and the development of breast cancer in women of Chechen populations of cancer.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):85-91
pages 85-91 views

NONLINEAR MODEL OF OVERFISHING FOR THE VOLGA STURGEON BASED ON COGNITIVE GRAPH OF INTERACTION OF ENVIRONMENTAL FACTORS

Perevaryukha A.Y.

Abstract

We have discussed the development of models of dynamics of formation of reserves juveniles from natural spawning sturgeon Acipenser gueldenstaedtii of theCaspian Seaon historical data. Working hypotheses are based on the graph conceptual scheme aimed chain links. Structuring multivariate analytical conclusions about the quality of the interaction of 12 natural and anthropogenic factors in the ecosystem of the Caspian Sea have allowed us to recharge from the general ideas of the theory on to describe the specific situation of the tragic consequences of overfishing of anadromous fish with a long lifecycle. Reducing the word was swiftly enough and not consistent with the expectations of the replenishment of stocks by artificial reproduction. Dedicated contact circuit pulse propagation cognitive digraph where arcs contains the power of influence, says an indirect strengthening of action depends on the density of mortality. Interestingly, the relationship did not have a permanent independent sign «+» or «–». Recessions manifested dramatically on both boundaries of the range of optimum number of spawning manufacturers. Perhaps the decline in the efficiency of the reproduction right of the balance associated with the migration routes overlap. It is more intense withdrawal of fish more prolific race hibernating until spring in the river. The model takes into account the additional effect of increasing variations in the pace of development of the size on the survival of migrating hatchery. The system of differential equations is investigated in an iterative discrete continuous hybrid form with alternative position of equilibrium trajectory. One of the equilibrium is unstable, and is the starting point for the degradation of reproductive activity. The proposed model of reproduction under supercritical level seizures shows subtle transition from the brink of fading fluctuation to the permanent historical perspective depletion, the way into the Red Book.

Vestnik of Samara University. Natural Science Series. 2016;22(1-2):92-106
pages 92-106 views

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