О ЧИСЛЕННОМ РЕШЕНИИ УРАВНЕНИЯ ФРАКТАЛЬНОГО ОСЦИЛЛЯТОРА С ПРОИЗВОДНОЙ ДРОБНОГО ПЕРЕМЕННОГО ПОРЯДКА ОТ ВРЕМЕНИР.И. Паровик & R.I. Parovik
We propose a model of a fractal oscillator with variable fractional order. Received and investigated by numerical solution of the model. The phase trajectory.
The paper presents one of the mathematical tools for modeling innovation processes. With the help of Kondratieff long waves can define innovation cycles. However, complexity of the innovation system implies a qualitative description. The article describes the problems of this area of research.
We consider a fuzzy-neural programming method in order to control the movement of the robot. The advantages of this method in comparison with the theory of fuzzy sets and neural networks considered separately.
This article discusses an information resource as a factor of integration of models and methodologies for example informatics
A simple and valid in-situ measurement method of effective diffusion coefficient of radon and thoron in soil and other porous materials was designed. The analysis of numerical investigation of radon and thoron transport in upper layers of soil revealed that thoron flux density from the earth surface does not depend on soil gas advective velocity and varies only with diffusion coefficient changes. This result showed the advantages of thoron using versus radon using in the...
The results of numerical investigation of influence of atmospheric turbulence, wind speed and direction as well as radon and thoron flux density from the soil on characteristics of atmospheric a-, b- and g-radiation fields, which created by atmospheric radon, thoron and their short-lived decay products, are represented and analyzed in the work. It was showed that variation of radon and thoron flux densities from the earth surface changes yields and flux densities of a-, b-...
We have made a global analysis of the market nanopowders. Based on the available data it can be concluded that the introduction of nano-powders in various spheres of high technologies will occur every year more intensively.
An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated in this research work. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
For separate classes of groups some relationships are revealed between two algorithmic prob-lems: problem calculation of index of a subgroup and occurrence problem.
In this paper, in the mixed area, which is part of the elliptical vertical half-strip, non-local task, in which the nonlocal conditions associated pointwise values of the fractional derivative of the unknown function at the points of a boundary characteristics.
ПОСТАНОВКА И ИЗУЧЕНИЕ НЕКОТОРЫХ КРАЕВЫХ ЗАДАЧ ДЛЯ УРАВНЕНИЯ ТРЕТЬЕГО ПОРЯДКА ПАРАБОЛО-ГИПЕРБОЛИЧЕСКОГО ТИПА ВИДА ?(Lu)/?x = 0 В ПЯТИУГОЛЬНОЙ ОБЛАСТИM. Mamazhonov & B. Mamadalieva
In this paper we put two boundary value problems, and examines one of these problems for the equation of the third order parabolic-hyperbolic type ? (Lu) /?x= 0 in a pentagonal area. We prove the unique solvability of the problem
In this paper boundary-value problem for one even-order equation is studied. The unique solvability of the problem is restored by additional conditions and conditions to domain.
The paper is devoted to the detection of the law of frequency distribution in high-frequency geoacoustic emission signals generated in the result of dislocation changes in sedimentary rocks. Sparse approximation is used for emission pulse processing. As a consequence, a signal is decomposed into atoms with a definite frequency corresponding to the size of a shear source. On the basis of Kolmogorov criteria, it was ascertained that distribution of atoms in a geoacoutstic signal corresponds...
Formulated a number of criteria in order to distinguish the radiation of a lithospheric origin of the atmosphere-magnetosphere and magnetosphere-ionosphere to natural radiation. Based on the criteria of the synthesized method of recording and detecting the electromagnetic signals of the lithosphere. Was conducted a field experiment on simultaneous registration of signals from five different electromagnetic and one acoustic sensor in a seismically active region. Preliminary data analysis showed the presence of correlation of pieces of...
In this paper we consider geophysical effects of solar events of 2014 according to the observation system of north-eastern Russia. We allocated effects of excitation of waves in atmospheric electricity of near-ground air which was the result of sudden commencement of a magnetic storm.
The results of analysis of existing measurement methods of radon flux density from the soil surface were presented in this work, and the revealed disadvantages of the methods were indicated. A new method of monitoring of undisturbed radon flux density from the soil surface, which is applied for its using in the large range of meteorological conditions, was developed. Outline of the method was given. The method is based on registration of ?-radiation of radon...
This article discusses the implementation techniques of creativity in the classroom course on the theory of images. The development of spatial concepts, the systematization of knowledge about the properties of geometric figures and methods of their image
ОБ АСИМПТОТИКЕ ФУНДАМЕНТАЛЬНОГО РЕШЕНИЯ ОБЫКНОВЕННОГО ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ ДРОБНОГО ПОРЯДКА С ПОСТОЯННЫМИ КОЭФФИЦИЕНТАМИL. Gadzova
The asymptotics of the fundamental solution of the linear ordinary differential equation of fractional order with constant coefficients, for large values of spectral parameter ?, is found.
In the present work the problems of correctness of a linear inverse problem for the Trikomi equation in three-dimensional space are considered. For this problem, the theorems on existence and uniqueness of the solution are proved in certain class by "epsilon-regularization Galerkin’s and of successive approximations methods.
В работе рассматриваются способы решения линейных диофантовых уравнений как в частном случае с двумя неизвестными, так и в общем случае с несколькими неизвестными. Основной результат содержится в теореме 1, в которой дается общий способ решения любого диофантова уравнения, основанный на сравнениях по подходящему модулю
О ЕДИНСТВЕННОСТИ РЕШЕНИЯ КРАЕВОЙ ЗАДАЧИ ДЛЯ УРАВНЕНИЯ СМЕШАННОГО ТИПА С ГИПЕРБОЛИЧЕСКИМ ВЫРОЖДЕНИЕМ ПОРЯДКАЗ.В. Кудаева
В работе доказывается единственность решения краевой задачи для уравнения смешанного эллиптико-гиперболического типа второго порядка
This paper deals with the formulation and study of boundary value Gellerstedt type problem for parabolic-hyperbolic equation with degeneration of the type and order within the area which equivalently reduced to integral equations.
О НЕКОТОРЫХ КРАЕВЫХ ЗАДАЧАХ ДЛЯ ОДНОГО УРАВНЕНИЯ ТРЕТЬЕГО ПОРЯДКА ПАРАБОЛО-ГИПЕРБОЛИЧЕСКОГО ТИПА В ПЯТИУГОЛЬНОЙ ОБЛАСТИM. Mamazhonov, S.M. Mamazhonov & B. Mamadalieva
This article is an example of the application of methods for constructing solutions of integral and differential equations. Here we consider the equation of parabolic-hyperbolic type ?/?x + ?/?y (Lu) = 0 in a pentagonal area. We prove a theorem on the unique solvability of a set of two tasks.
МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ НЕЛИНЕЙНЫХ ЭРЕДИТАРНЫХ ОСЦИЛЛЯТОРОВ НА ПРИМЕРЕ ОСЦИЛЛЯТОРА ДУФФИНГА С ДРОБНЫМИ ПРОИЗВОДНЫМИ В СМЫСЛЕ РИМАНА-ЛИУВИЛЛЯИ.В. Дробышева
В работе предложена математическая эредитарная модель осциллятора Дуффинга с трением, которая является обобщением ранее известной классической модели осциллятора Дуффинга. Это обобщение заключается замене в модельном уравнении целочисленной производной на производные дробных порядков в смысле Римана-Лиувилля. Построена явная конечно разностная схема для вычисления приближенного решения, а также фазовые траектории при различных значениях управляющих параметров.