Vol 19, No 9.1 (2013)

Articles

NUMERICAL METHOD FOR SOLVING INVERSE SPECTRAL PROBLEMS GENERATED BY PERTURBED SELF-ADJOINT OPERATORS

Kadchenko S.

Abstract

A new numerical method for solving inverse spectral problems generated by perturbed self-adjoint operators from their spectral characteristics is developed. The method was tested on the problems for perturbed Sturm - Liouville operator. The results of numerous calculations have shown its computational efficiency. The simple algebraic formulas for finding the eigenvalues of discrete operators was found. At that the calculation of eigenvalues of perturbed self-adjoint operator can start from any number, no matter known the eigenvalues from previous numbers or not.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):5-11
pages 5-11 views

GENERALIZED Delta-DERIVATIONS

Kaygorodov I.

Abstract

In the paper the questions devoted to generalization of notion of δ-derivation on non-associative algebras. Apart from that new examples of non-trivial δ-derivations for Lie algebras were constructed.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):12-21
pages 12-21 views

ON NUMERICAL ESTIMATE OF LIMITS OF MAXIMAL MEAN FOR PERIODIC FUNCTIONS

Lepilov A.

Abstract

The scheme of definition of an error of numerical method of calculation of limit of maximal mean for periodic function is offered. The example of calculation of limit of maximal mean is considered.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):22-27
pages 22-27 views

ON ESTIMATE OF SIZE OF LOCALIZATION ZONE OF CARRIER OF SOLUTION TO A SEMILINEAR ELLIPTIC EQUATION

Pikulin S.

Abstract

In this paper an estimate of size of localization zone of carrier of solution to the Dirichlet problem for a semilinear elliptic equation with measurable coefficients when the constant which limits the boundary conditions grows is defined more exactly.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):28-34
pages 28-34 views

CERTAIN CONDITIONS OF INTEGRABILITY OF DYNAMICAL SYSTEMS IN TRANSCENDENTAL FUNCTIONS

Pokhodnya N., Shamolin M.

Abstract

Certain general conditions of integrability in elementary functions for the systems on the tangent bundle of two-dimensional sphere are studied. At that an interesting example of three-dimensional phase pattern of pendulum-like system which describes the motion of spherical pendulum, placed in an over-run medium flow. Sufficient conditions of existence of the first integrals expressed through the finite combination of elementary functions, for multi-parametric third order systems are presented.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):35-41
pages 35-41 views

ON PERFECT IMITATION RESISTANT CIPHERS OF SUBSTITUTION WITH UNBOUNDED KEY

Ratseev S.

Abstract

Constructions of perfect imitation resistant ciphers are investigated in the work. It is well known that Vernam cipher with equiprobable gamma is a perfect cipher but it is not imitation resistant. It is because in Vernam cipher equipotent alphabets for plaintexts and ciphertexts are used. On the basis of A.Yu. Zubov's mathematical model of substitution cipher with unbounded key a model of perfect and imitation resistant cipher is constructed. At that reference cypher of the given model is perfect and reaches lower boundaries for success probability of imitation and substitution of communication.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):42-48
pages 42-48 views

TOPOLOGICAL FREEDOM FOR CLASSICAL AND QUANTUM NORMED MODULES

Shteiner S.

Abstract

In the article questions, connected with the notion of topological projectiv-ity are viewed. It is shown that this type of projectivity can be represented as a partial case of certain general-categorical scheme, based on a notion of framed category. Apart from that topologically free 'classical', as well as quantum normed modules are described. Analogous results were obtained for topo-logical injectivity.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):49-57
pages 49-57 views

INVERSE PROBLEM FOR A NONLINEAR INTEGRAL AND DIFFERENTIAL EQUATION OF THE THIRD ORDER

Yuldashev T.

Abstract

In this paper a method of study of inverse problem for a nonlinear partial integral and differential equation of the third order is proposed. A theorem on the existence and uniqueness of solution of this inverse problem is proved.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):58-66
pages 58-66 views

DYNAMICS CONTROL AND CONSTRAINT STABILIZATION

Abramov N., Mukharlyamov R.

Abstract

Results of researchers on dynamics modeling of the systems containing different physical elements are proposed. The construction method of the physical systems dynamics equations, providing constraints stabilization, is discussed. The problem of corresponding constraints reactions or determination of control actions is reduced to the construction of the system of differential equations, assuming that the partial integrals are given. The conditions of asymptotic stability and exponential stability an integral manifold's corresponding constraint equations are defined.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):67-75
pages 67-75 views

SELF-SIMILAR SOLUTION TO THE PROBLEM OF MIXED DEFORMATION OF PLATE WITH A CRACK TIP IN A DAMAGED MEDIUM

Stepanova L., Adylina E.

Abstract

In the article asymptotic solution of the problem of defining of stressed state of strain and field of continousness in the neighbourhood of crack tip in the sample which is in state of mixed deformation is received. On the basis of self-similar presentation of solution and hypothesis about the formation of area fully defragmentated material near the crack tip, the distribution of strains, speed of deformation and continuousness of a stationary crack in a damaged medium at full range of mixed forms deformation (from simple share to normal fracture) is obtained. Highest approximations in asymptotic resolution of fields of strain, speed of deformation of creep and continuous are obtained.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):76-93
pages 76-93 views

EXPLICIT EQUATIONS OF STATE OF QUEUEING SYSTEM, REPRESENTED BY FINITE STATE MACHINE

Bukarenko M.

Abstract

The algorithm of calculation of sequence of states of queueing system with heterogeneous equipment and separate storage devices on the basis of preset sequence of input signals and initial state with the help of finite Mealy automatons is presented.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):94-101
pages 94-101 views

THEORETICAL STUDY OF STABILITY OF COMPOSITE BASED ON CARBON NANOTUBES AND RUTILE

Glukhova O., Kolesnikova A., Saliy I., Slepchenkov M.

Abstract

With the help of quantum and chemical method of close coupling, finding of stable configuration of nanocomposite on the basis of "carbon nanotube and ceramics"is carried out. Rutile nanoparticle with surface (110) consisting of 148 atoms was considered as ceramic material. The criterion for stability was the enthalpy of reaction of formation of investigated composite. It is found out that the enthalpy of reaction decreases monotonically with increasing diameter of nanotube. It was revealed that the growth of stability of composite contributes to the increase in the number of bonds O-C and their location in two rows.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):102-111
pages 102-111 views

INFLUENCE OF DIPOLE-DIPOLE INTERACTION ON DYNAMICS OF ENTANGLED GREENBERGER — HORNE — ZEILINGER STATES FOR TWO QUBITS

Bashkirov E., Puzyrnaya T.

Abstract

The influence of dipole-dipole interaction on dynamics of three- and four-particle GHZ states for two Д-type superconducting flux cubits interacting with one or two different electronic LC cavities via two-photon processes has been investigated. The results show that dipole-dipole interaction does not lead to the disappearance of the effect of entanglement sudden death and does not change the maximum degree of entanglement.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):112-121
pages 112-121 views

EFFECT OF PHENOLIC DERIVATIVES OF BENZIMIDAZOLE ON GROWTH AND ENZYME ACTIVITY OF E. COLI

Belousova Z., Klenova N., Makeeva I.

Abstract

Dose-response stady (concentration of 50-200 mkg/ml) effect on growth total degidrogenase, catalase, sukcinatdegidrogenase activity of E. COLI phenolic benzimidazole derivatives containing a methyl group and the glycoside radical is researched. All compounds have dozo-respouse bacteriostatic effect and cause metabolic stress, resulting in higher concentrations of active degidrogenase and catalase. Most damaging effect has 4(2-methyl-1fi-benzimidazol-ylmethyl)phenyl-2,3,4,6-tetra-O-azethyl-/3-D-glucopyranozyd in a concentration of 200 mkg/ml.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):122-127
pages 122-127 views

PRODUCTION OF PEPTIDE COMPOUNDS IN HUMAN ERYTHROCYTES AT HYPERGLYCEMIA AND THEIR EFFECT ON THE PROTEOLYTIC ACTIVITY OF LEUKOCYTE

Vasilieva S., Mochalova E., Isaeva A., Klenova N.

Abstract

An increase in the production of peptide compounds in human erythrocytes incubated by them in conditions of hyperglycemia (10 mmol/L) compared with normoglycemia (5 mmol/L) is found. At that the spectrum of peptide compounds changes, since a change of their action on the activity of cathepsin D leukocytes: in normoglycemia allocated erythrocytes peptides increase the activity of cathepsin D with calcium deficiency in the environment, and in conditions of hyperglycemia, on the contrary inhibit the enzyme in the presence of calcium ions.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):128-133
pages 128-133 views

IMPROVEMENT OF TECHNOLOGY FOR GENERATION OF NITROBENZENE

Deputatova Y., Kukushkin I., Velikanova E., Pyzhov A., Purygin P.

Abstract

The new technological process of generation of nitrobenzene is presented in this article. The possibility of using the sugeested technology in industry instead of using sulfuric-nitric acid mixtures is shown.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):134-139
pages 134-139 views

CONCERNING THE PRELIMINARY RESULTS OF SPACE EXPERIMENT WITH THE HIGHER PLANTS SEEDS EXPOSED ON SPACECRAFT "BION-M" № 1

Abrashkin V., Avdeeva E., Kurkin V., Ryzhov V., Gorelov Y., Kurganskaya L., Ilyin V., Kavelenova L., Rozno S., Ruzaeva I., Ruzaeva K.

Abstract

The preliminary results of after-flight laboratory and field studies fulfilled with the higher plants seeds exposed for 30 days on the board of spacecraft "BION-M" № 1 are presented in the article.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):140-150
pages 140-150 views

BARK OF TREES AND BUSHES AS THE SUBSTRATUM FOR EPIPHYTIC LICHENS IN THE STEPPE ZONE (ON THE EXAMPLE OF THE SAMARA REGION)

Irzhigitova D., Moshkova M., Petrova E., Korchikov E.

Abstract

In this article difference in chemical characteristics of bark of trees and bushes is viewed. Bark of bushes contains at least in 10 larger quantity of available forms of nitrogen, than bark of trees, it has the increased value of рН, it is more than 10 times richer with phenolic substances. The less there are available forms of nitrogen and water-soluble carboniferous matters in bark, the more specific to this substratum of types of lichens there are.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):151-157
pages 151-157 views

EFFECT OF 1,1-DI(AZOLIL-1)IMINS ON ERYTHROCYTIC SYSTEM OF RATS

Kuzmina V., Kareva-Tatarnikova A.

Abstract

The analysis of deviation in parameters of erythrocytic system state in condition of 1,1-di(azolil-1)imins administration has established the expressed ability of these substances to stimulate erythropoiesis.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):158-162
pages 158-162 views

MATERIALS TO THE RESUME OF ADVENTIVE FLORA OF THE WESTERN PART OF SOKOLII HILLS

Prokhorova N., Golovlyov A., Makarova Y.

Abstract

The floristic researchings carried out in 2011-2012 years at the western part of Sokolii Hills revealed 229 species of vascular plants, among them 27 species of adventive plants belonging to 27 genera, 17 families, 1 class and 1 phylum.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):163-176
pages 163-176 views

SIMULATION OF MORPHOLOGICAL AND FUNCTIONAL PROPERTIES OF ERYTHROCYTE MEMBRANE

Nagornov Y., Zhilyaev I.

Abstract

The paper presents a model for the calculation of morphofunctional erythrocyte properties. The model represents the erythrocyte as a homogeneous elastic body with elastic depending on the distance to the center of symmetry of the erythrocyte. The data for modeling were taken from the experimental study, which were used by atomic force microscopy (measuring the elasticity of the membrane of erythrocytes and morphology) and the Coulter method. In the developed model, the elasticity of the membrane to change depending on the distance to the center within 1-1,6 kPa. The calculation of the elastic properties is made by two methods - finite element analysis and optimization methods. In the model the dependence of erythrocyte morphology on the membrane pressure was obtained. Pressure difference across the erythrocyte membrane varied in the range of 0,5-2 kPa.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):177-190
pages 177-190 views

RESEARCH OF HORMONAL STATUS OF WOMEN WITH VARIOUS REPRODUCTIVE DISORDERS

Pisareva E., Razumnaya A., Borzenkova A.

Abstract

Comparative investigation of the content of level of anti-myullerian and follicle-stimulating hormone in women in different age groups depending on the phase of menstrual cycle. Anti-myullerian hormone is one of the most interesting tokens of woman's reproductive system, appeared in the last years. The measurement of this new ovarian nonsteroidal hormone allowed us to study the deeper processes of growth and maturation of hoses and clarify certain issues of pathogenesis of a number of gynaecological diseases.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):191-197
pages 191-197 views

INVESTIGATION OF RIGID INTEGRAL AND DIFFERENTIAL PROBLEM OF IEF BY TANGENT METHOD

Sakharova L.

Abstract

The article is devoted to the problem of development by methods of approximate solution of rigid integral and differential problem on the example of modeling of isoelectric focusing (IEF) in the so-called "anomalous" regimes. Two new methods of asymptotic solution of problem with large parameter are represented: the geometric tangent method, based on approximation of solution by the system of broken lines with known geometric parameters.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):198-211
pages 198-211 views

A TIME-BLOCK ALGORITHM FOR FILTERGIN GEOLOCATION DATA

Beilina N.

Abstract

In this paper a fast and simple algorithm for filtering geolocation data stream is considered.
Vestnik of Samara University. Natural Science Series. 2013;19(9.1):212-215
pages 212-215 views

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