231 Works

PASSAGE THROUGH X-RAY PROTECTION HAVING THE STRUCTURE OF HOMOGENEOUS FRACTALS

V.A. Churikov
In this paper we generalize the law of Bouguer-Lambert in the case of a homogeneous fractal. With detailed analysis in terms of d-output operator generalized law of Bouguer- Lambert-Beer law, which in particular includes the classical law of optics Bouguer-Lambert- Beer.

LOCATION OF THE SOURCE OF THE GEOMAGNETIC FIELD GENERATION

V.V. Kuznetsov
Using well-known data on the structure of the geomagnetic field it is shown that its generation source is located at the boundary between the Earth inner and outer cores, most likely, in the F-layer.

POSSIBLE EFECTS OF THE LIGHTNING CENTERS IN WHISTLER RATES IN KAMCHATKA

G.M. Vodinchar, V.P. Sivokon’, N.V. Cherneva, B.M. Shevtsov & E.A. Malysh
The paper investigates possible sources of Kamchatka whistlers in March and September 2013. Applying the data from WWLLN and AWDANet worldwide networks, it is shown that statistically significant sources may be located in the global lightning centers.

NUMERICAL ANALYSIS SOME OSCILLATION EQUATIONS WITH FRACTIONAL ORDER DERIVATIVES

R.I. Parovik
The paper presents a mathematical model of non-classical dynamic systems. A numerical method of difference schemes, depending on various parameters of the system were found numerical solutions of models. The phase trajectory.

MODELING INVERSIONS WITHIN LOW-MODE MODEL OF LARGE-SCALE DYNAMO

G.M. Vodinchar, A.N. Godomskaya & O.V. Sheremetyeva
In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.

FINITE GENERATED SUBGROUPS OF HYPERBOLIC GROUPS

A.P. Goryushkin
It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.

ON ONE PROBLE FOR HIGHER-ORDER EQUATION

A.V. Yuldasheva
In this paper not well posed problem for the even-order equation is studied. The stability of the problem is restored by additional conditions and conditions to domain.

CERTAIN PROPERTIES OF FRACTIONAL INTEGRO-DIFFERENTIATION OPERATOR OF FUNCTIONS IN OTHER FEATURES

A.S. Nishonboev
Prove an important lemma for the operator of fractional integro-differentiation of functions of other functions.

ABOUT A METHOD OF RESEARCH OF THE NON-LOCAL PROBLEM FOR THE LOADED MIXED TYPE EQUATION IN DOUBLE-CONNECTED DOMAIN

O.Kh. Abdullayev
In the present paper an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation on the third order in double-connected domain was investigated. The uniqueness of solution was proved by the extremum principle for the mixed type equations, and existence was proved by the method of integral equations.

КОНЕЧНО ПОРОЖДЕННЫЕ ПОДГРУППЫ ГИПЕРБОЛИЧЕСКИХ ГРУПП

А.П. Горюшкин & A.P. Goryushkin
Устанавливается, что конечно порожденные подгруппы бесконечного индекса в гиперболических группах, не являющихся почти абелевыми, дополняемы нетри- виальным свободным множителем.

НЕКОТОРЫЕ СВОЙСТВА ОПЕРАТОРА ДРОБНОГО ИНТЕГРО-ДИФФЕРЕНЦИРОВАНИЯ ОТ ФУНКЦИИ ПО ДРУГОЙ ФУНКЦИИ

А.C. Нишонбоев & A.S. Nishonboev
Prove an important lemma for the operator of fractional integro-differentiation of functions of other functions.

ОБ ОДНОЙ ЗАДАЧЕ ДЛЯ УРАВНЕНИЯ ВЫСОКОГО ПОРЯДКА

А.В. Юлдашева & A.V. Yuldasheva
In this paper not well posed problem for the even-order equation is studied. The stability of the problem is restored by additional conditions and conditions to domain.

МОДЕЛИРОВАНИЕ ИНВЕРСИЙ В РАМКАХ МАЛОМОДОВОЙ МОДЕЛИ КРУПНОМАСШТАБНОГО ДИНАМО

Г.М. Водинчар, А.Н. Годомская, О.В. Шереметьева, G.M. Vodinchar, A.N. Godomskaya & O.V. Sheremetyeva
In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.

ЧИСЛЕННЫЙ АНАЛИЗ НЕКОТОРЫХ ОСЦИЛЛЯЦИОННЫХ УРАВНЕНИЙ С ПРОИЗВОДНОЙ ДРОБНОГО ПОРЯДКА

Р.И. Паровик & R.I. Parovik
The paper presents a mathematical model of non-classical dynamic systems. A numerical method of difference schemes, depending on various parameters of the system were found numerical solutions of models. The phase trajectory.

О МЕСТОПОЛОЖЕНИИ ИСТОЧНИКА ГЕНЕРАЦИИ ГЕОМАГНИТНОГО ПОЛЯ

В.В.Кузнецов & V.V. Kuznetsov
Using well-known data on the structure of the geomagnetic field it is shown that its generation source is located at the boundary between the Earth inner and outer cores, most likely, in the F-layer.

ВОЗМОЖНОЕ ПРОЯВЛЕНИЕ АКТИВНОСТИ МИРОВЫХ ГРОЗОВЫХ ЦЕНТРОВ В ПОТОКЕ ВИСТЛЕРОВ НА КАМЧАТКЕ

Г.М. Водинчар, В.П. Сивоконь, Б.М. Шевцов, Н.В. Чернева, Е.А. Малыш, G.M. Vodinchar, V.P. Sivokon, B.M. Shevtsov, N.V. Cherneva & E.A. Malysh
We study the possible sources of Kamchatka whistlers in March and September 2013. Using these global networks WWLLN and AWDANet and methods of correlation anaziz shown that statistically significant sources are located in the global thunderstorm activity.

ПРОХОЖДЕНИЕ РЕНТГЕНОВСКОГО ИЗЛУЧЕНИЯ ЧЕРЕЗ СРЕДЫ ИМЕЮЩИЕ СТРУКТУРУ ГОМОГЕННЫХ ФРАКТАЛОВ

В.А. Чуриков & V.A. Churikov
In this paper we generalize the law of Bouguer-Lambert in the case of a homogeneous fractal. With detailed analysis in terms of d-output operator generalized law of Bouguer- Lambert-Beer law, which in particular includes the classical law of optics Bouguer-Lambert- Beer.

СРАВНЕНИЕ МЕТОДОВ РАЗРЕЖЕННОЙ АППРОКСИМАЦИИ НА ПРИМЕРЕ СИГНАЛОВ ГЕОАКУСТИЧЕСКОЙ ЭМИССИИ

О.О. Луковенкова & O.O. Lukovenkova
The paper is devoted to the comparative analysis of some sparse approximation methods. The first part of the paper describes general sparse approximation problem and two main approaches solved it. Classification of testing pursuit algorithm is illustrated. Features of the methods application to geoacoustic emission signals are considered in the second part. The sparseness, accuracy and runtime of described pursuit algorithms are compared.

ИСПОЛЬЗОВАНИЕ МЕТОДОВ ПАРАЛЛЕЛЬНОГО ПРОГРАММИРОВАНИЯ ПРИ ЧАСТОТНО-ВРЕМЕННОМ АНАЛИЗЕ СИГНАЛОВ ГЕОАКУСТИЧЕСКОЙ ЭМИССИИ

А.А. Ким & A.A. Kim
It has been shown in previous studies that the sparse approximation methods with combined dictionary and refining have been used for this purpose. The main disadvantage of this method is its computational expensive. The realization of parallel matching pursuit algorithm has been considered in this article. It has been shown that using of parallel algorithm speeds up the processing and enables signal analysis in real time.

МЕТОДИКА ПОВЫШЕНИЯ ЭФФЕКТИВНОСТИ ОБУЧЕНИЯ НЕЙРОННЫХ КАРТ КОХОНЕНА ДЛЯ РАСПОЗНАВАНИЯ ВОЗМУЩЕНИЙ ГЕОАКУСТИЧЕСКОЙ ЭМИССИИ

А.В. Шадрин & A.V. Shadrin
This work is dedicated to technique of training Kohonen maps on the example of geoacoustical signal in the subrange 1500-6000 Hz. Describes the parameters of learning the Kohonen maps to classify anomalies in geoacoustical signal on different types.

ПОСТАНОВКА И МЕТОД РЕШЕНИЯ НЕКОТОРЫХ КРАЕВЫХ ЗАДАЧ ДЛЯ ОДНОГО КЛАССА УРАВНЕНИЙ ТРЕТЬЕГО ПОРЯДКА ПАРАБОЛО-ГИПЕРБОЛИЧЕСКОГО ТИПА

М. Мамажонов, Х.М. Шерматова, Х. Мукадасов, M. Mamajonov, H.M. Shermatova & H. Mukadasov
This paper studies the methods of investigation of some boundary value problems for a class of parabolic-hyperbolic equations of the third order in the hexagonal concave areas that take advantage of the study of problems of mathematical physics in the magistracy.

ПОСТАНОВКА И МЕТОД ИССЛЕДОВАНИЯ НЕКОТОРЫХ КРАЕВЫХ ЗАДАЧ ДЛЯ ОДНОГО КЛАССА УРАВНЕНИЙ ЧЕТВЕРТОГО ПОРЯДКА ПАРАБОЛО-ГИПЕРБОЛИЧЕСКОГО ТИПА

М. Мамажонов, С.М. Мамажонов, M. Mamajonov & S.M. Mamajonov
This paper studies the methods of investigation of some boundary value problems for a class of parabolic-hyperbolic equations of the third order in the hexagonal concave areas that take advantage of the study of problems of mathematical physics in the magistracy.

ИССЛЕДОВАНИЕ ОДНОЗНАЧНОЙ РАЗРЕШИМОСТИ КРАЕВОЙ ЗАДАЧИ ТИПА ФРАНКЛЯ ДЛЯ УРАВНЕНИЯ СМЕШАННОГО ТИПА ВЫРОЖДАЮЩЕГОСЯ НА ГРАНИЦЕ И ВНУТРИ ОБЛАСТИ

Н.К. Очилова & N.K. Ochilova
В данной статье доказывается существование и единственность решения краевой задачи для вырождающегося уравнения параболо-гиперболического типа.

КРАЕВАЯ ЗАДАЧА ДЛЯ НАГРУЖЕННОГО УРАВНЕНИЯ ЭЛЛИПТИКО- ГИПЕРБОЛИЧЕСКОГО ТИПА В ДВУСВЯЗНОЙ ОБЛАСТИ

O.Х. Абдуллаев & O.Kh. Abdullaev
We study the existence and uniqueness of the solution of one boundary value problem for the loaded elliptic-hyperbolic equation of the second order with two lines of change of type in double-connected domain. Similar results have been received by D.M.Kuryhazov, when investigated domain is one-connected

НЕЛОКАЛЬНАЯ КРАЕВАЯ ЗАДАЧА ДЛЯ УРАВНЕНИЯ СМЕШАННОГО ТИПА В НЕОГРАНИЧЕННОЙ ОБЛАСТИ, ЭЛЛИПТИЧЕСКАЯ ЧАСТЬ КОТОРОЙ ПРЯМОУГОЛЬНИК

Р.Т. Зуннунов, М.А. Мамасолиева, R.T. Zunnunov & M.A. Mamasolieva
In an article for mixed-type equation in an unbounded domain elliptic part is a rectangle, the unique solvability of a nonlocal boundary value problem. The uniqueness of the solution is proved by energy integrals, and the existence of the method of integral equations

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