42 Works

ИССЛЕДОВАНИЕ УСТОЙЧИВОСТИ НЕКОТОРЫХ ЭРЕДИТАРНЫХ ДИНАМИЧЕСКИХ СИСТЕМ

Parovik R I
In the training course of the theory of differential equations, there exists a section on the investigation of the stability of systems of differential equations. If the system of differential equations consists of differential equations of integer order, then the stability theory of Lyapunov is usually used to study the stability of their rest points. However, in the case when the system of differential equations consists of differential equations of non-integer order, then it is...

ON SOME NEW ESTIMATES RELATED WITH DISTANCE FUNCTION FOR DIFFERENTIAL FORMS

Shamoyan R F & Shipka A N
In this short note we consider a new extremal problem for some general spaces of differential forms and provide some estimates for related distance function.

МОДЕЛИРОВАНИЕ ОТРАЖЕНИЙ ЛИДАРНЫХ СИГНАЛОВ В ВЕРХНЕЙ АТМОСФЕРЕ

Nabokin A A
This article describes the problem of creating scientific services based on web technologies. The implementation of the software complex of processing of atmospheric phenomena data at different heights is presented. The software package uses the method of elastic light scattering, atmospheric model NRLMSISE-00 and fork of this model, to get a ratio of scattering at heights from 0 to 150 kilometers.

ЧИСЛЕННОЕ РЕШЕНИЕ ЗАДАЧИ ПАРАМЕТРИЧЕСКОЙ ИДЕНТИФИКАЦИИ ДЛЯ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ЧАСТНЫМИ ПРОИЗВОДНЫМИ

Abdullayev V M
The paper proposes a numerical method for solving the problem, based on the use of the method of lines to reduce the problem to a system of ordinary differential equations with unknown parameters. Next, we use a special representation of the solution of the obtained boundary value problem for a linear system of differential equations with nonlocal conditions, by means of which the problem of parametric identification reduces to solving auxiliary boundary value problems and...

СОЗДАНИЕ СИСТЕМЫ РАСПРЕДЕЛЁННЫХ ВЫЧИСЛЕНИЙ

Garapov M A
In this article, the problem of using distributed computing systems for solving global projects of simulation simulation and mathematical calculations is considered. Also, in the historical example, the use of BOINC distributed computing in practice is considered. The problems of practical implementation of distributed computing projects and ways to solve them are identified. A distributed computing server and a test task to it have been created. Implemented a system of network services and interaction of...

ПРОГРАММНЫЕ СРЕДСТВА ОБРАБОТКИ ДАННЫХ РАДАРНОЙ ИНТЕРФЕРОМЕТРИИ ПО ТЕРРИТОРИИ КАМЧАТКИ

Kashapov I G
This article will deal with radar interferometry and the technical part of the processing of satellite radar data, the Sentinel-1A satellite, as well as the processed data for different periods along the northern part of Kamchatka.

СРЕДА ВИЗУАЛЬНОГО ПРОЕКТИРОВАНИЯ ДЕЙСТВУЮЩИХ МАКЕТОВ ОБРАБОТКИ И АНАЛИЗА СИГНАЛОВ АКУСТИЧЕСКОЙ И ЭЛЕКТРОМАГНИТНОЙ ЭМИССИЙ

Senkevich Y I & Gapeev M I
We present a technology of creation of visual application design environment for hardwaresoftware complexes (VDE HSC) aimed at acoustic and electromagnetic emission signal processing and analysis. The technology includes the operations of block visual design method with auto-negotiation of interblock connection, method of modeling and design tools integration by connection devices of known and self-developed instrumentation means and algorithms of inner-established blocks. The obtained effect from application of the created environment will allow the researches...

ДИНАМИКА ПОВЕДЕНИЯ ИОНОСФЕРНЫХ ПАРАМЕТРОВ НАКАНУНЕ ЗЕМЛЕТРЯСЕНИЙ В ПЕРИОДЫ 28.02.-01.03.2013 Г И 19.05-24.05.2013 Г

Bogdanov V V & Pavlov A V
In the present report the variations of ionospheric parameters and ionospheric turbulence before and during seismic events are studied applying complex radiophysical methods and using a theoretical probability approach, suggested by the authors. The probability approach allowed to detect the growth of seismic activity in the Kamchatka region in 2013. It is found that characteristic ionospheric features as K-layer formation (corpuscular layer due to precipitation of particles from the radiation belts), increase of the characteristic...

НОВЫЙ ПОДХОД К ФИЗИКЕ ЗЕМЛЕТРЯСЕНИЙ И ВУЛКАНОВ

Kuznetsov V V
The author in recent years is developing a shock-wave model of the earthquake. The shock wave (SW) at the time of the earthquake is formed when the structural phase transition is realized in the hypocentre region, it comes to the surface of the Earth and is reflected. In this case, a reflected wave of expansion (discharge) appears, directed opposite to the shock wave. The interaction of these waves leads to strong movements: surface ruptures, decompaction...

ХАРАКТЕРНЫЕ ФОРМЫ ЭЛЕКТРОМАГНИТНЫХ СИГНАЛОВ

Уваров В Н
Выделены неизвестные ранее простейшие повторяющиеся волновые формы электрической компоненты электромагнитного поля СНЧ-ОНЧ диапазона (паттерны), приуроченные к землетрясениям. Проведен анализ условий возникновения и распространения акустического и электромагнитного излучения и литосферных механизмов акустоэлектромагнитного преобразования. Сделаны выводы о конверсии акустического излучения в электромагнитное характере литосферных движений, сопутствующих простейшим волновым формам. Эти паттерны сопоставлены с простейшими видами деформационных движений деформируемого твердого тела.

КОНТРОЛЬНАЯ РАБОТА ПО ДИСЦИПЛИНЕ «ТЕОРИЯ И ТЕХНОЛОГИЯ РАЗВИТИЯ МАТЕМАТИЧЕСКИХ ПРЕДСТАВЛЕНИЙ У ДЕТЕЙ»: ВАРИАНТЫ, МЕТОДИЧЕСКИЕ РЕКОМЕНДАЦИИ

Yakovleva T P
In the article the control work on the discipline «Theory and technology of development of mathematical representations in children»is presented. It covers: 25 options; methodical recommendations on writing, execution and execution of the test work.

ХАРАКТЕРИСТИЧЕСКАЯ ЗАДАЧА ДЛЯ НАГРУЖЕННОГО ВДОЛЬ ОДНОЙ ИЗ СВОИХ ХАРАКТЕРИСТИК ГИПЕРБОЛИЧЕСКОГО УРАВНЕНИЯ ВТОРОГО ПОРЯДКА

A.Kh. Attaev
In this paper, we consider the Goursat problem for a loaded hyperbolic equation with the wave operator in the principal part. We prove the uniqueness and existence of solution for the problem under study, and give the solution in the closed form

КРАЕВАЯ ЗАДАЧА СО СМЕЩЕНИЕМ ДЛЯ МОДЕЛЬНОГО УРАВНЕНИЯ ПАРАБОЛО-ГИПЕРБОЛИЧЕСКОГО ТИПА ТРЕТЬЕГО ПОРЯДКА

Zh.A. Balkizov
In this paper, we study the boundary-value problem with displacement for a model inhomogeneous parabolic-hyperbolic equation of the third order. We prove the uniqueness and existence theorems for a regular solution of the problem under study. In the case when the coefficients of the problem are constant real numbers, the solution of the problem under study is written out in explicit form.

ПРИБЛИЖЕНИЕ ФУНКЦИЙ В ОБОБЩЁННЫХ ГЁЛЬДЕРОВЫХ ПРОСТРАНСТВАХ И ИХ МОДИФИКАЦИЯХ

M.R. Golava
We study rate of approximation of Valle Poussin means of Fourier series in generalized Holder spaces.

О РЕШЕНИИ АНАЛОГА ЗАДАЧИ А. А. ДЕЗИНА ДЛЯ УРАВНЕНИЯ СМЕШАННОГО ТИПА ВТОРОГО ПОРЯДКА МЕТОДОМ ФУНКЦИИ ГРИНА

R.A. Kirzhinov
In this paper the A. A. Dezin problem analogue is considered for inhomogeneous parabolic–hyperbolic type equation of the second order. We proved the solution uniqueness of the solution to the problem under investigation. The solution representation is written out by the Green’s function method

К ВОПРОСУ О РАЗРЕШИМОСТИ ОБЫКНОВЕННЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ ДРОБНОГО ПОРЯДКА

F.T. Bogatyreva
We discussed the problem of solvability of initial value problem for one model ordinary differential equation of fractional order. It is shown that the dimension of the kernel depends on the distribution parameters of Dzhrbashyan-Nersesyan operators and also can be trivial

ЗАДАЧА КОШИ ДЛЯ ОБЫКНОВЕННОГО ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С ОПЕРАТОРОМ ДРОБНОГО ДИСКРЕТНО РАСПРЕДЕЛЕННОГО ДИФФЕРЕНЦИРОВАНИЯ

Л.Х. Гадзова
Для обыкновенного дифференциального уравнения с оператором дробного дискретно распределенного дифференцирования исследована начальная задача, получена формула Лагранжа. Решение найдено в явном виде и доказана теорема существования и единственности решения

ЗАДАЧА В ПОЛУПОЛОСЕ ДЛЯ ПАРАБОЛИЧЕСКОГО УРАВНЕНИЯ ВЫСОКОГО ПОРЯДКА С ОПЕРАТОРОМ РИМАНА-ЛИУВИЛЛЯ ПО ВРЕМЕННОЙ ПЕРЕМЕННОЙ

L.L. Karasheva
We construct a representation of the solution for higher order parabolic equation with time fractional derivative in the half-strip and prove uniqueness theorem in the class of fast-growing functions.

ЗАДАЧА ТРИКОМИ ДЛЯ ВЫРОЖДАЮЩЕГОСЯ ВНУТРИ ОБЛАСТИ ГИПЕРБОЛИЧЕСКОГО УРАВНЕНИЯ ТРЕТЬЕГО ПОРЯДКА

R.Kh. Makaova
In this paper, we study the Tricomi problem for a third-order hyperbolic equation with degeneracy of order inside a mixed domain. The existence and uniqueness theorem for a regular solution is proved.

ЗАДАЧА КОШИ ДЛЯ СИСТЕМЫ УРАВНЕНИЙ СЧАСТНЫМИ ПРОИЗВОДНЫМИ ДРОБНОГО ПОРЯДКА

M.O. Mamchuev
For a system of first-order equations with partial derivatives of fractional order in the Riemann-Liouville sense, we give a correct statement of the Cauchy problem in the case when the matrix coefficient in the main part has only positive eigenvalues.

ЗАДАЧА НЕЙМАНА ДЛЯ ОБОБЩЕННОГО УРАВНЕНИЯ ЛАПЛАСА

О.Х. Масаева
Доказано существование и единственность решения задачи Неймана для обобщенного уравнения Лапласа с дробной производной в верхней полуплоскости.

ЗАДАЧА ДАРБУ ДЛЯ ДРОБНОГО ТЕЛЕГРАФНОГО УРАВНЕНИЯ

R.A. Pshibikhova
In this paper we prove a theorem of existence and uniqueness of solutions of the Darboux problem for the generalized telegraph equation of fractional order with Riemann-Liouville derivatives.

РАСЧЕТ МАКСИМАЛЬНЫХ ПОКАЗАТЕЛЕЙ ЛЯПУНОВА ДЛЯ КОЛЕБАТЕЛЬНОЙ СИСТЕМЫ ДУФФИНГА СО СТЕПЕННОЙ ПАМЯТЬЮ

V.A. Kim & R.I. Parovik
In the study of nonlinear systems, one of the important problems is the determination of the type of oscillations-periodic, quasi-periodic, random, chaotic. It is especially difficult to distinguish between quasi-periodic oscillations from chaotic and random oscillations, since quasi-periodic oscillations often have a very complex shape, visually weakly distinguishable from «random». A feature of chaotic oscillations is their high sensitivity to small changes in the initial conditions. Therefore, one of the most reliable ways of detecting...

ИССЛЕДОВАНИЕ УСТОЙЧИВОСТИ ТЕНДЕНЦИЙ ЭЛЕМЕНТОВ КЛИМАТА В ВЫСОКОГОРЬЕ КАРАЧАЕВО-ЧЕРКЕСИИ С 1959 ПО 2017 ГГ.

E.A. Korchagina
The methods of statistical modeling are used to define the tendencies of climate elements dynamics. Degree of stability completeness of the tendencies was estimated by means of coefficient of ranks correlation of Ch. Spearmen. It is received that in dynamics of the average annual and seasonal sums of an atmospheric precipitation and air temperature in mountain zone KChR the tendency of increase in summer temperature during 1959-2017 and also summer and annual air temperature during...

ИССЛЕДОВАНИЕ ХАОТИЧЕСКИХ И РЕГУЛЯРНЫХ РЕЖИМОВ ФРАКТАЛЬНОГО ОСЦИЛЛЯТОРА ФИТЦХЬЮ-НАГУМО

O.D. Lipko
In this paper we study the conditions for the existence of chaotic and regular oscillatory regimes of the hereditary oscillator FitzHugh-Nagumo (EFN), a mathematical model for the propagation of a nerve impulse in a membrane. To achieve this goal, using the non-local explicit finite-difference scheme and Wolf’s algorithm with the Gram-Schmidt orthogonalization procedure, the Lyapunov maximum exponent spectra were constructed as a function of the values of the control parameters of the model of the...

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