• Home
  • Rakhimzhon Zunnunov
Rakhimzhon Zunnunov

Rakhimzhon Zunnunov
Институт математики Академии Наук Республики Узбекистан · Дифференциальные уравнения и их приложения

Кандидат физико-математических наук

About

17
Publications
985
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
21
Citations
Citations since 2016
14 Research Items
21 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012

Publications

Publications (17)
Article
This article studies a problem with shift in the characteristics of different families in an unbounded domain for a mixed-type model equation of the second kind. The elliptic part of this problem is the vertical halfstrip; the hyperbolic part is the characteristic triangle bounded by the characteristics of the equation. Using the extremum principle...
Article
Full-text available
The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved. In the hyperbolic part of the considered domain, the functional equation is solved by the iteration meth...
Article
Full-text available
The paper investigates the dynamic modes of the Sel’kov fractional self-oscillating system in order to simulate the interaction of cracks. The spectra of the maximum Lyapunov exponents, constructed depending on the parameters of the dynamic system, are used as a research tool. The maximum Lyapunov exponents were constructed according to the Benetti...
Article
В данной статье изучена нелокальная задача для обобщенного уравнения Трикоми со спектральным параметром в неограниченной области эллиптическая часть которой является верхней полуплоскостью. Единственность решения поставленной задачи доказана методом интегралов энергии. Существование решения поставленной задачи доказана методом функций Грина и интег...
Preprint
Full-text available
In this work, an analogue of the Tricomi problem for equations of mixed type with a fractional derivative is investigated. In one part of the domain, the considered equation is a subdiffusion equation with a fractional derivative of order ? 2 (0; 1) in the sense of Riemann-Liouville, and in the other it is a wave equation. Assuming the parameter ?...
Preprint
Full-text available
In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of the order 0<a<1 , and in the other part - a wave equation with a fractional derivative of the or...
Article
Full-text available
An initial-boundary value problem for the subdiffusion equation with an elliptic operator A(D) in R N is studied in the article. Existence and uniqueness theorems for the problem under study are proved by the Fourier method. Considering the order of the Riemann-Liouville time-fractional derivative as an unknown parameter, an inverse problem of dete...
Article
Full-text available
Microseismic phenomena are studied by a Sel'kov generalized nonlinear dynamic system. This system is mainly applied in biology to describe substrate and product glycolytic oscillations. Thus, Sel'kov dynamic system can also describe interaction of two types of fractures in an elastic-friable medium. The first type includes seed fractures with lower...
Article
В данной работе для обобщенного уравнения Трикоми со спектральным параметром в неограниченной области эллиптическая часть которой является горизонтальной полосой исследуется задача со смещением на характеристиках разных семейств. Единственность решения задачи доказывается методом интегралов энергии, а существование решения задачи методом функций Гр...
Preprint
Full-text available
An initial-boundary value problem for a subdiffusion equation with an elliptic operator A(D) in R^n is considered. Uniqueness and existence theorems for a solution of this problem are proved by the Fourier method. Considering the order of the Caputo time-fractional derivative as an unknown parameter, the corresponding inverse problem of determining...
Article
Full-text available
В данной работе для уравнения смешанного типа в неограниченной области эллиптическая часть которой является горизонтальной полосой исследуется задача со смещением на характеристиках разных семейств. Единственность решения задачи доказывается методом интегралов энергии, а существование решения задачи методом функций Грина и методом интегральных урав...
Article
Full-text available
В этой работе в смешанной области, эллиптическая часть которой вертикальная полуполоса, исследована нелокальная задача, в которых нелокальные условия поточечно связывают значения дробной производной искомой функции в точках одной граничной характеристики.
Article
Full-text available
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
Article
Full-text available
In this paper the existence and uniqueness of the solution of the non-local boundary value problem for the mixed type equation in unbounded domain are proved.In this paper the existence and uniqueness of the solution of the non-local boundary value problem for the mixed type equation in unbounded domain are proved.

Network

Cited By