Summary. In this paper we consider the Tricomi problem in a mixed domain for the Chaplygin equation. Frankl was first which showed that the problem of the expiry of a supersonic jet from a vessel with plane walls (inside subsonic speed of the vessel) in the hodograph plane is reduced to the Tricomi problem for Chaplygin equation. In the method of auxiliary functions we received a new theorem of uniqueness of the solution of this problem with the Frankl condition in a new domain, without any restrictions, except the smoothness on the elliptical part of the border domain.
Keywords: method of auxiliary functions, Chaplygin equation of the Tricomi problem, an equation of mixed type.
Annotasiya. Dəniz (duzlu, mineral) suyunun parçalanması və yanacaq qazının (təqribən 85% hidrogen,oksigen ≤ 5%) alınmasının qeyri-стандарт elektroliz yolu ilə yeni texnologiyası təklif olunur. Anod çoxbucaqlı, katod isə ox şəklində yaradılır. Anod və katod xüsusi ayrıcı lent vasitəsi ilə bir-birindən izolə edilir və bağlı sistem şəklində birgə işlədilirlər. Sistem dayanıqlı güc mənbəyi ilə gərginliklə birləşdirirlər, sonra isə sabit elektrik cərəyanının təsiri altında dəniz suyu parçalanır, və su qazlara parçalanır, nəticədə qaz alınır və suyun qaynamasına xeyli qalmış (təqribən 25-700С temperaturda) alınan qaz yanır.
Açar sözlər: Dəniz suyu, anod, katod, yanacaq qazı, AKK, AKM.
Actual problems of modern science: Abstracts of XІV International scientific-practical conference (St. Petersburg - Astana - Kyiv - Vienna, November 29, 2016)
Annotation. A variant of the solution with the help of Bill hypothesis direct evidence "Great" Fermat's theorem elementary methods rows. New are "invariant identity" (keyword) and obtained by us in the text, the identity of the work, which allowed directly to solve the FLT, and several others. Also proposed a new formulation of the theory (clause 2.1.4.), the evidence for n = 1,2,3, .. n> 2 and x, y, z> 2.
Keywords: invariant identity proof, Bill hypothesis, the theory of numbers.
Summary: The paper deals with the history of the Riemann-Green's function. The article presents a method first used by Riemann in solving some boundary value problems for partial differential equations of hyperbolic type by comparing the two solutions, constructed in different ways.
Keywords: problem of Cauchy, Riemann-Green function, Fouier cosine transform.
Annotation. This article contains information about symmetrization of amplitude quantity of gravitational waves, which were registered by LIGO and about combined GW150914, GW151226 masses got by an experimental way, with index of the Universe evolutionary degree got by the theoretical way.
Key words: The Universe evolutionary degree (UED), amplitude of gravitational waves (AGW), parametric criterions (PC).
Summary: The article offers an approach to establishment of conditions of existence and uniqueness of solution of the boundary value problem for the linear integro-differential equation with a parameter, as well as represents the method of reducing the given problem to the equivalent integral equation.
The article is of theoretical nature. The results obtained may be used for treatment of specific applied problems. Theoretical computations are illustrated with specific example.
Keywords: boundary-value problem, integro-differential equation, uniqueness of a solution, integral equation.
Anotation: This paper describes N.N.Boholyubov fundamental contribution to the development of statistical mechanics on the example of the principle of correlation weakening.
Keywords: Bogolyubov, correlation, principle of weakening correlation, quasiaverage.
Summary: In this paper, method is offered enabling reduction of resolving system of heterogeneous partial-derivative differential equations of the sixteenth order within the variant of mathematical theory of non-thin shallow shells to the differential equations of the second and fourth orders. A method is used of geometrical parameters perturbation and symbolical method.
Keywords: variant of mathematical theory, non-thin shallow shell, system of heterogeneous partial-derivative differential equations, method of perturbations, operator.
Actual problems of modern science: Abstracts of X International scientific-practical conference (Moscow - Astana - Kharkiv - Vienna, July 28, 2016)
Summary: Offered the elementary static geometric model of nucleus from nuclons with 4 bonds describes the method of nucleus formation and shape-generating clusters, explain main features of fission mass-spectrums, allows to show out discrete of nucleus binding energy formula. Two ways of mass number increase are educed - concentric and linear chainlets of clusters. The Form Distinction of nucleus with a equal nuclon depot looks in a model as the isomeria reason. A possible analogy is indicated between the forms of nucleus and accessible to the supervision by the clusters of amorphous silicon.
The Key Words: nucleus form, tetrahedron, clusters, binding energy.
Economics and Management in the XXI century: analysis of trends and prospects: Abstracts of IV International scientific-practical conference (Kyiv - St.-Petersburg - Vienna, July 29, 2016)
Summary: In article on a number of examples of milestone events it is shown that the so-called unknown flying objects actually represent the specific electromagnetic high-intense objects created under the influence of wave space resonances.
Keywords: kosmo-terrestrial communications; the unknown flying objects; wave space resonances.
Summary: In article from positions of the "space wave electromagnetic resonant concept" developed by authors the kosmofizichesky nature of a phenomenon of UFO is opened.
Keywords: the unknown flying objects; kosmo-terrestrial communications; space resonant cycles.
Summary: It is shown that seismo-volcanic processes have the geocosmic nature. Space electromagnetic indignations make powerful impact on these processes, acting as their direct responsible, catalysts or trigger mechanisms.
Keywords: earthquakes, eruptions of volcanoes, wave space electromagnetic resonances.
Summary: discrete and continuous mathematical models of global world conflicts were constructed and exact solution of the last one was found.
Key words: system analysis, differential equations, global conflicts.
Summary: depending on the collected statistical data of Slavutych city the indicator model has been constructed and calculated relevant indicators, made the analysis of the results.
Key words: system analysis, sustainable development, city’s development.
Abstract: This paper concerns methods of control transport traffic at crossroads modeling for regulation process optimization by Dijkstra’s algorithm and Ford–Fulkerson.
Keywords: transport network, optimal root, maximum flow, algorithms on graph.
Abstract: The method of predicting respiratory viral diseases using Hidden Markov chains.
Keywords: Markov process, forecasting, Hidden Markov Model, Serfing‘s method, Bayes' theorem.
В статье рассматривается парадокс Монти Холла как способ моделирования реальных процессов.
