5
▪
-INTERNATIONAL RESEARCH JOURNAL
ISSN 2303-9868 PRINT
ISSN 2227-6017 ONLINE
-INTERNATIONAL RESEARCH JOURNAL
ISSN 2303-9868 PRINT
ISSN 2227-6017 ONLINE
№
5 (47) 2016
5
- .
12 .
: . . : . .
: 620075, . , . , . 4, . , . 17.
: [email protected] : www.research-journal.org
20.05.2016.
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International Research Journal.
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CC
: AЭЭrТЛЮЭТШЧ 4.0
International (CC BY 4.0).
Agris.
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- / PHYSICS AND MATHEMATICS
... 6
... 11
LOW-FREQUENCY DIELECTRIC RELAXATION IN SILVER STEARATE LAYERS ... 16
... 21
Ё ... 29
... 38
... 44
... 47
... 51
/ BIOLOGY FAGOPYRUM ESCULENTUM MOENCH. ... 55
.... 58
EVALUATION OF PHYSICAL DEVELOPMENT DYNAMICS IN MODERN CHILDREN 7-8 YEARS OF AGE ... 62
ALLIUM L. ... 65
... 69
GERANIACEAE ... 73
... 75
... 79
... 81
7-8 ... 82
- ... 85
... 87
... 90
... 100
/ CHEMISTRY ... 104
... 108
... 112
THE IMPACT OF NON-NUCLEOTIDE INSERTIONS ON THERMAL STABILITY OF DNA G-QUADRUPLEXES ... 116
... 122
, 2 ... 125
... 131
C ... 134
, ... 137
... 141
... 146
... 150
«LENOM» ( ) «DR.NONA» ... 153
«DR.NONA» ( ) ... 155
I ... 157
I ... 158
... 160
... 163
... 166
... 170
... 174
/ PHARMACEUTICS N'- N– –5– (5– ) ... 177
-SACCHAROMYCES CEREVISIAE ... 180
6
- / PHВSICS AND MATHEMATICS
DOI: 10.18454/IRJ.2016.47.018
. .1, . .1, . .2
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Abregov M.H.1, Kanchukoev V.Z.1, Shardanova . .2 1
PhD in Physics and Mathematics, 2 Postgraduate student, Kabardino-Balkaria State University named after H.M. Berbekov
VALUE PROBLEM FOR THE FIRST KIND OF LINEAR SECOND ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT ON BALANCED SEGMENT
Abstract
Modelling of engineering and economic, biological, and medical and other applications makes it necessary to study problems for ordinary differential equations and partial differential equations.We study the unique solvability of the boundary value problem for first order ordinary linear second-order differential equation with deviating argument on a symmetric interval. Using the symmetry of the segment, which solved the boundary value problem, the solution is sought in the form of a sum of even and odd functions. With this approach, the solution is reduced to the study of the question of solvability of classical boundary value problems for even or odd components of unknown function that allows you to set conditions for the unique solvability depending on the input data. Properties auxiliary task allowed to establish spectrum investigated boundary value problem.
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1. . ., . .
.// . – 2015. - №2 ( 2).
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References
1. Lesev V.N., Shardanova M.A. Kraevaya zadacha dlya differencialnogo uravnenia s otclonyaushimsia argumentum.// Sovremenie problemi nauki i obrazovania.– 2015. - №2 (
2. Marchenko B.A. Operatori Sturma-Liuvillya i ih prilojeniya// Kiev. Naukovka Dkmka -1977, - 735 .
2. εЮНrШЯ A.B. ЬЯвКгТ ЬвЬЭОЦ ШЛТФЧШЯОЧЧТС НТППОrОЧМТКХЧТС ЮrКЯЧОЧТТ Т ЮrКЯЧОЧТТ Ь гКpКгНТЯКЮЬСТЦ КrРЮЦОЧЭШЦ.//
Vestnik Novosibirskogo gosudarstvennogo universiteta. Seria: Matematica, mehanika, informatica. - 2007.- .7,-№2,- . 52-64.
3. NШrФТЧ .B. DТППОrОЧМТКХЧТО ЮrКЯЧОЧТК ЯЭШrШРШ pШrКНФК Ь гКpКгНТЯКЮЬТЦ КrРЮЦОЧЭШЦ.// εШМФЯК, NКЮФК, 1965,-356 . 4. Prasolov A.V. Dinamicheskie modeli s zapazdivaniem I ih prilogenia v economici i ingeneri. // Sankt- Peterburg.-2010,-289 .
5. Tihonov A.N., Vasileva A.B., Sveshnikov A.G. Differencialnie uravnenia.// Mockva. Nauka, 1980,-232 .
DOI: 10.18454/IRJ.2016.47.019
. .1, . .1, . .2 1
- , 2 ,
« - . . . »
А
.
-, .
-
. - ,
,
.
. ,
.
: , ,
, , - , , .
Abregov M.H.1, Kanchukoev V.Z.1, Shardanova . .2 1
PhD in Physics and Mathematics, 2Postgraduate student, Kabardino-Balkaria State University named after H.M. Berbekov
NUMERICAL METHODS FOR SOLVING BOUNDARY VALUE PROBLEMS FOR LINEAR FIRST KIND SECOND ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT ON BALANCED SEGMENT
Abstract
In the developed numerical method for solving the first boundary value problem for a model second-order ordinary differential equation with deviating argument. Built finite-difference scheme that approximates the differential problem with the accuracy of second order in step a uniform grid. From the resulting a priori estimates of the solution finite difference scheme implies its convergence under certain conditions to the input parameters of the problem. The method of implementation of the finite scheme consisting in the presentation of its solutions in the form of a sum of two grid functions, each of which is a solution of the classical boundary value problem for a differential equation of second order. Conducted computing experiments confirm the theoretical results obtained in this work. The work is an example of the problem, which has countless solutions due to violations of the conditions for its unique solvability.
Keywords: equation with deviating argument, numerical solution method, two-point boundary value problem, symmetric interval, finite-difference scheme, a priori estimate, convergence.
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.// . – 2015. - №2 ( 2).
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References
1. Lesev V.N., Shardanova M.A. Kraevaya zadacha dlya differencialnogo uravnenia s otclonyaushimsia argumentum.// Sovremenie problemi nauki i obrazovania.– 2015. - №2 ( 2).
2. εЮНrШЯ A.B. ЬЯвКгТ ЬвЬЭОЦ ШЛТФЧШЯОЧЧТС НТППОrОЧМТКХЧТС ЮrКЯЧОЧТТ Т ЮrКЯЧОЧТТ Ь гКpКгНТЯКЮЬСТЦ КrРЮЦОЧЭШЦ.//
Vestnik Novosibirskogo gosudarstvennogo universiteta. Seria: Matematica, mehanika, informatica. - 2007.- .7,-№2,- . 52-64.
3. NШrФТЧ .B. DТППОrОЧМТКХЧТО ЮrКЯЧОЧТК ЯЭШrШРШ pШrКНФК Ь гКpКгНТЯКЮЬТЦ КrРЮЦОЧЭШЦ.// εШМФЯК, NКЮФК, 1965,-356 . 4. Prasolov A.V. Dinamicheskie modeli s zapazdivaniem I ih prilogenia v economici i ingeneri. // Sankt- Peterburg.-2010,-289 .
5. Samarski A.A. Teoria raznostnih shem.// Moskva. Nauka,1989,-616 .
16
DOI:10.18454/IRJ.2016.47.259 . .1, . .2, . .3
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Goryaev M.A.1, Castro R.A.2, Smirnov A.P.3 1
PhD in Engineering, 2PhD in Physics and Mathematics
Herzen State Pedagogical University of Russia, St. Petersburg 191186, Russia LOW-FREQUENCY DIELECTRIC RELAXATION IN SILVER STEARATE LAYERS
Abstract
The low-frequency dielectric relaxation process in silver stearate layers was studied. The increasing of dielectric permittivity with frequency decreasing and temperature increasing in studied sample are associated with the dipole-relaxation polarization mechanisms. The dispersion of loss factor could be connected with the contribution of relaxation mechanism and conductivity. The shape of the Cole-Cole diagram shows that silver stearate is a non-Debye dielectric material characterized by a wide distribution of relaxators, according to the Cole-Cole relaxation model.
Keywords: silver stearate, dielectric spectroscopy, dielectric relaxation.
ntroduction
Photothermographic materials based on compositions of silver halides and of fatty acids salts, in particular, silver stearate, are widely applied for efficient registration of optical images [1]. During the manufacturing of the photosensitive composition, silver halide is synthesized on the surface of the particles of fatty acids salts (silver stearate) [2, 3]. Spectral sensitization of photothermographic materials is performed by using different dye-sensitizers introduced into such heat-developable composition. Consequently spectral sensitization is possible in a wide optical band (from blue to near-infrared) [3]. Silver stearate participates in the processes of sensitization and latent image development. [3-5]. Therefore, the study of electrical and optical properties, as well as the identification of structural features of this material represents an actual task. The objective of this work was the investigation specific features of dielectric relaxation and charge transport processes in the silver stearate layers and this relationship to structural features of the material. It is known that structural features of the disorder systems are caused by existence of the defect electronic or impurity centers [6, 7]. The assessment of influence of such centers on electrophysical properties of materials allows to reveal the nature of the processes proceeding in them and to broaden areas of their practical application.
Experimental details
Silver stearate is produced by the exchange reaction of sodium substitution under the excess concentration of silver nitrate particles of about one micron. Thus, in electrophysical research monolithic samples of this substance are used, press-formed into a tablet shape. Films with thickness of 0.5 mm and diameter of 10 mm were used. Specific features of the dielectric
rОХКбКЭТШЧ prШМОЬЬОЬ аОrО ЬЭЮНТОН Лв ЭСО НТОХОМЭrТМ ЬpОМЭrШЬМШpв ЦОЭСШН аТЭС “CШЧМОpЭ 81” ЬвЬЭОЦ (NШЯШМШЧЭrШХ
Technologies). This method has been applied successfully in the recent studies of electronic processes in systems of varying structural disorder [8-10]. Spectra of the complex dielectric permittivity were calculated from the impedance data. The temperature and frequency dependences of dielectric parameters were measured in a wide frequency range (10-2…102 Hz) and temperature band (273- 353 K). The operating voltage was 1.0 V. The error of measurements and calculations of physical parameters did not exceed 3%.
Results and discussion
Figure 1 shows the frequency dependence of the real part of complex conductivity at different temperatures. The behavior pattern of this dependence reveals that the conductivity in silver stearate layers increases with frequency, by the law (ω)≈ ωs, where A is a constant, ω– circular frequency, s – the exponent.
Fig.1 – Frequency dependence of the silver stearate conductivity at different temperatures
Figure 2 shows the temperature dependence of the exponent s, which takes values s = 0.30...0.90. This diagram has two areas, the weak (T=273...303 K) and the strong dependence (T=313...353 K). The observed patterns reveal of the possible hopping mechanism of conductivity in silver stearate layers.
According to the Austin-Mott model [11], the alternating current conductivity in disordered systems is determined by the electron jumps between the pairs of localized states at the Fermi level.
Fig. 2 – Temperature dependence of the exponent s
The model with random hopping energy [12] assumes that the elementary polarization act represents an over-barrier transition of one electron from one state to another and the activation energy of the center is determined by the Coulomb interaction. In this case, the value of the exponent s lies within the range 0.90-0.30 at room temperature and decreases with the increase in temperature. As is known, the conductivity is linked with the density of localized states N(EF) at the Fermi level by the ratio:
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260 280 300 320 340 360
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