# Mersaid AripovNational University of Uzbekistan · Department of Applied Mathematics&Computer Analysis

Mersaid Aripov

Professor

## About

78

Publications

8,011

Reads

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304

Citations

Citations since 2016

Introduction

Recearch fields:Applied Mathematics, IT, Criptography, Nonlinear analysis

## Publications

Publications (78)

In this work we consider the problem numerical investigation. For this
goal, it an important to find an initial approximation depending on the
value of numerical for iterative processes. In the work consider slowly
and fast diffusion, critical and singular cases.

As it is well-known that degenerate equation need not possess classical solution. However, the local in time existence of the weak solution to \eqref{eq2}, defined in the usual integral way, as well as a comparison principle can be easily established.

The property a finite speed perturbation of distribution of the Cauchy problem for a parabolic not in divergence
form based on comparison method is considered. An asymptotic behavior of self-similar solution for equation
is established. It is shown that coefficients of main terms of asymptotic of solution satisfy to some system of a
nonlinear algeb...

In this work the problem global solvability of Fujita type estimate of solution and front
asymptotic self-similar solution for slowly and fast diffusion cases, including critical and singular cases considered. Results of numerical analysis discussed.

In this paper we consider the nonlinear Klein-Gordon equation on the metric star graph with tree semi-infinite bonds. At the branched point we put two types of vertex boundary conditions: the weight continuity and the condition for derivatives of wave functions as the generalized Kirchhoff rule. We solve this equation satisfying vertex boundary con...

It is known, that a process of any machine translation system is, decoding of sense of the entrance text in a natural language and re-encoding this meaning in the target language to inform the user in semantic conformity with the entrance/source text.One of variants of achievement of this purpose is the formalization of grammatical structures of na...

The property of a finite speed of a perturbation distribution to the Cauchy problem for non-divergence form of the parabolic equation based on comparison method and asymptotic behavior of a self-similar solution is achieved. The resulting asymptotics has been used as an initial approximation and numerical solutions have been calculated.

We consider the problem of the absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and t...

In this paper the properties of solutions of nonlinear parabolic equation not in divergence form | x | − 1 ∂ u ∂ t = u q ∂ ∂ x ( | x | n u m − 1 | ∂ u k ∂ x | p − 2 ∂ u ∂ x ) + | x | − 1 u β are studied. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. Cons...

In this paper we investigated the qualitative properties of non-negative and bounded continuous solutions to problem Cauchy for a degenerate parabolic equation with nonlinear gradient term. We based on splitting algorithm suggest estimate of weak solution for slowly, fast diffusion and critical cases, Fujita type global solvability of the Cauchy pr...

The book of abstracts contains the brief description of talks of the participants of the international conference ”Contemporary mathematics
and its application”. The topics are related to mathematical modelling
of nonlinear processes, algebra and functional analysis, differential equations and dynamical systems, ill-posed and inverse problems, ma...

The book of abstracts contains the brief description of talks of the participants
of the international conference " Modern problems of applied mathematics
and information technologies al-Khwarizmi 2021". The topics are related to
the scientific heritage of Al-Khwarizmi, theory of algorithms, mathematical modeling
of nonlinear processes, algebra and...

This paper discusses properties of mathematic modeling processes described by the Cauchy problem to the double nonlinear parabolic equation with convective transfer and damping.

In this research we propose a mathematical model for the flows of a viscous incompressible fluid along an inclined plane under the action of gravity over a sandy bottom. The analysis was carried out in the linear instability of the flow and reduced the problem to finding the eigenvalues. Investigated and analyzed the questions of wave formation on...

In this article, using the solution to the Hamilton-Jacobi equation, we allegedly investigate the estimate and asymptotic of solutions for a parabolic equation with double nonlinearity with damping with a variable coefficient. An estimate for the weak solution and the asymptotic of regular, unbounded and finite solutions of the stationary equation...

We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and their...

In this paper, having or lacking a rotating, magnetic field, and a time-dependent source of heat on a two-dimensional homogeneous, isotropic, and thermoelastic half-space was illustrated. The governing equations were formulated in the considering Maxwell's stresses. The surface boundary settings were explored considering the thermoelasticity model...

In this paper, difference schemes of the high-order finite element method for the Sobolev type equation are constructed and investigated. In particular, boundary value problems for the two-temperature plasma equation are considered. A high order of accuracy of the scheme is achieved by special sampling of time and space variables. The stability and...

Mathematical modeling of the nonlinear problem biological population nondivergent form with absorption, variable density are considered. Qualitative properties of considered problem which include the critical and double critical cases are discussed. Results of the numerical experiments are analyzed.

In this work, new properties of a radially symmetric self-similar solution of the nonlinear heat equation with source were obtained. A self-similar solution was derived using the method of standard equations. These properties were proved by regulation the solution of the self-similar equation relative to the parameter of the nonlinear source by add...

В данной работе, используя решение уравнения Гамильтона-Якоби исследуется оценка и асимптотика решений для уравнения параболического типа с двойной нелинейностью с демпфированием с переменным коэффициентом. Получена оценка слабого решения, асимптотика регулярных, неограниченных и финитных решений стационарного уравнения. Найдено условие пространств...

The Uzbek language belongs to low-resource languages. It is very important to increase the number of language resources such as dictionaries, corpora (monolingual and bilingual) for the Uzbek language. Dictionaries may be different kinds: monolingual, orthographical, bilingual, grammar special dictionaries: stems dictionaries, affixes dictionaries,...

The article is devoted to implementation of the project of CLASS in the frame of Erasmus+.

In this work, special methods for studying nonlinear parabolic equations were developed that allow a fairly detailed study of nonlinear problems based on self-similar and approximately self-similar solutions and the construction of an analogue Zeldovych-Kompanees type solution for a cross system, since the study of self-similar equations is relativ...

In this work we have established asymptotic behavior (for t ) of solutions of the Cauchy problem for a nonlinear heat equation with variable density describing the diffusion of heat with nonlinear heat absorption at the critical exponent of the parameter . For numerical computations as an initial approximation we used founded the long time asy...

Министерство инновационного развития Республики Узбекистан,
(государственный грант ОТФ-4-30, Узбекско-Российский грант МRU-OT81/2017)

Quantum graphs providing reflectionless wave transmission at the vertices are considered. Imposing Kuska’s version of so-called absorbing boundary conditions we derive constraints, which make usual continuity and Kirchhoff-type conditions equivalent to transparent boundary conditions.

The article deals with creating a new phonetic alphabet for the formal grammar of the Uzbek language, using the current phonetic alphabet of the Uzbek language and the International Phonetic Alphabet. KEY WORDS: International Phonetic Alphabet; formal grammar of the Uzbek language; Uzbek phonetic alphabet; phonetic and phonemic transcription; inter...

In countries where national cryptographic data protection algorithms are adopted, there is necessary to use these algorithms for cryptographic data protection. This article discusses the method of applying new cipher algorithms to encrypt Microsoft Office documents. The method of implementing document encryption in Microsoft Word 2016, which allows...

The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux are considered in the paper. The critical global existence curve and the critical Fujita curve are obtained.

Ontological models of turkic languages are applied for natural language proccessing. The thesis represents grammatical rules as a example of Noun of the Uzbek and Kazakh languages.

In this work, demonstrated the possibilities of the self-similar approach to the studying of qualitative properties of nonlinear reaction diffusion equation and system such as finite speed of a perturbation, Fujita and secondary type critical exponents of a global solvability. Asymptotic of the self-similar solutions in a secondary critical case is...

Проект Эрасмуз + направлен на разработку и внедрение новой университетской программы в области компьютерной лингвистике между дисциплиной. Проект начал в октябре и это продолжается 2020 году. Целью этой статьи является
предоставление общего обзора относительно разработкой учебной программ и повышение квалификация кадров по компьютерной лингвистике

These days creating the corpus of texts for Uzbek language, creating and developing linguistic databases, search-engine systems-are one of the crucial tasks of computational linguistics. Particularly, electronic dictionary-thesauruses, semantic dictionaries are one of them. Dictionary-thesaurus formation structure for Uzbek language, transferring t...

In this paper we study the global solvability and no solvability conditions of a multidimensional nonlinear problem of non-Newtonian filtration with nonlocal boundary condition in the slow diffusion case. Establish the critical global existence exponent and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium, which play...

In this paper we study the global solvability or nosolvability of a nonlinear filtration problem with nonlinear flux boundary condition in the fast diffusion case. The critical global existence and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions are obtained.

In this paper, we study properties of solutions to doubly nonlinear reaction-diffusion systems with variable density and source. We demonstrate the possibilities of the self-similar approach to studying the qualitative properties of solutions of such reaction-diffusion systems. We also study the finite speed of propagation (FSP) properties of solut...

Aim:
To define the prognostic value of evaluation exercise-induced myocardial ischemia according to the data of pharmacological (dobutamine or dipyridamole) stress echocardiography (EchoCG) in patients with acute coronary syndrome (ACS).
Subjects and methods:
The results of examinations were analyzed in a total of 91 patients with ACS. An analys...

Aim:
To define the prognostic value of the indicators of left ventricular myocardial viability according to the data of pharmacological stress echocardiography in patients with acute coronary syndrome (ACS).
Materials and methods:
The results of examinations were analyzed in a total of 91 patients with ACS; 71 of them were found to have areas of...

Создан электронное учебно-методическое обеспечение для высших учебных заведений по данному предмету, ориентированный на дистанционное образование, обогащенный новыми географическими сведениями и информациями; разработана методика его использования и внедрения в учебный процесс.
Разработан Интернет ориентированный электронное учебно-методическое об...

The properties of the weak solution of the Cauchy problem for one parabolic equation with double nonlinearity and with lower order terms are investigated. The researched equation class includes the equations of nonlinear diffusion, fast diffusion, order terms to very fast diffusion and p-Laplace heat conductivity equation.

The methods of numerical modeling of nonlinear processes of mutual diffusion-reaction systems are offered. For modeling of diffusion-reaction systems, a system of degenerate-type parabolic equations are used. The properties of weak solutions of initial-boundary value problems for the nonlinear reaction-diffusion systems in the presence of convectiv...

The authors researched into the possibility of autologous bone marrow stem cell (MSC) application in patients with acute myocardial infarction (AMI). 10 patients with AMI received cell therapy after giving an informed consent. ECG and EchoCG revealed myocardial infarction (MI) in the basin of the anterior interventricular branch (AIB) of the left c...

To study relationship between presence and volume of viable myocardium and registration of late ventricular potentials in patients with history of myocardial infarction.
High resolution ECG, dobutamine stress echocardiography and Holter ECG monitoring were carried out 34 patients (mean age 54.1-/+3.1 years) with history of documented myocardial inf...

A strong electron-phonon interaction observed in semiconductors allows to realize a special kind of atomic rebuilding under photo-irradiation of the medium. We consider three types of defective structures: one atomic, two-atomic ('dump-bell') and multi-atomic (kinks) defects. It is shown that an inversion effect of the defect potential term may be...

The Cauchy problem applied to a class of degenerate quasilinear parabolic type equations is studied. To solve it the approximate similar approach based on splitting the initial equation is proposed. This approach allows: to construct some exact solutions; to set the global solvability; to give the estimates of solutions and fronts, as well as asymp...

## Projects

Projects (7)

The 7th LTC Workshop on Less-Resourced Languages (LRL 2023),
taking place at The 10th Language & Technology Conference: Human Language Technologies as a Challenge for Computer Science and Linguistics.
Date and place: April 21-23, 2023, Poznan, Poland.
Official conference website: https://www.ltc.amu.edu.pl/
The LRL2023 Workshop info: http://ltc.amu.edu.pl/lrl23/
CALL FOR PAPERS
Despite the fast and ever-advancing development of NLP technologies and tools, not all languages benefit from them equally. Most of the state-of-the-art methods and technologies were developed, experienced, and reported for a small number of well-developed and rich-resourced languages, leaving many other, less-resourced languages behind.
The 7th LRL workshops cover areas of research interest in underfunded, less resourced, minority and endangered languages. Since 2009, when the this workshop was organized for the first time as a LRLs dedicated workshop, the importance and interest in LRL specific LT problems has been systematically increasing in Eastern Europe, Central Asia and Caucasian countries (colleagues from this region were very active already at LTC19). The appearance at the last LRL workshops of contributions from Central Africa and Oceania proves that there is a room for further expansion of the LTC/LRL community.
We intend to strengthen this tendency by proposing the 7th LRL workshop as a forum for the presentation of specific problems faced by the LRL community but also as a platform to present recent achievements on the way from the status of a Low-Resourced-Language to the position of a High-Resourced-Language.
Co-Chairs
- Mirsaid Aripov, Uzbekistan
- Elmurod Kuriyozov, Spain
- Sanatbek Matlatipov, Uzbekistan
- Patrick Paroubek, France
- Zygmunt Vetulani, Poland
PROGRAM COMMITTEE
- Mersaid Aripov, National University of Uzbekistan
- Khalid Choukri, ELDA, France
- Irakli Kardava, Adam Mickiewicz University, PoznaĹ, Poland
- Adnan Kavak, Kocaeli University, Turkey
- Elmurod Kuriyozov, University of A CoruĂąa, Spain
- Khabibulla Madatov, Urgench State University, Uzbekistan
- Belinda Maia, Uni. Porto, Portugal
- Joseph Mariani, LIMSI, France
- Patrick Paroubek, LIMSI, France
- Natia Putkaradze, Ivane Javakhishvili Tbilisi State University, Georgia
- Altynbek Sharipbay, Eurasian National University, Kazakhstan
- Ualsher Tukeev, Al-Farabi Kazakh National University, Kazakhstan
- Zygmunt Vetulani, Adam Mickiewicz University, PoznaĹ, Poland
IMPORTANT DATES:
- Deadline for paper submissions: December 16, 2022
- Notification of acceptance: January 6, 2023
- Camera-ready papers: January 15, 2023
- Conference dates: April 21 - 23, 2023
(The deadlines may change, according to the changes made to the main conference dates, please visit https://www.ltc.amu.edu.pl/ )
TOPICS (alphabetic, non-exhaustive list)
* Hybrid Approaches for LRLs;
* Language corpora creation/maintaining technologies for LRLs;
* Language preservation methods and techniques;
* Language policies for endangered and under-resourced languages;
* Machine translation techniques and tools for LRLs;
* Multilingual/cross-lingual natural language processing tools for machine translation;
* Named Entity Recognition and other sequence labeling resources/tools for LRLs;
* Parallel corpora development for LRLs;
* POS-taggers, morphology analysers and other tools for LRLs;
* Processing of speech data for LRLs;
* Protection of linguistic patrimony;
* Rule-based and statistical NLP approaches for LRLs;
* Sentiment analysis, text classification, and summarization methods for LRLs;
* Syntactic, semantic and lexical analysis for Less-Resourced Languages (LRLs).
* . . .
*Papers related to any other NLP topics that are not mentioned above are also welcome, as long as they are related to low-resourced and/or endangered languages.
PAPER SUBMISSION
The basic submission procedure is the same as for all other LTC papers, but please do follow the workshop specific instructions provided at https://www.ltc.amu.edu.pl/ ). In particular you are kindly requested to add LRL to the keyword list in the paper, as well as in the metadata accompanying the final version of the paper.
PUBLISHING POLICY
Acceptance will be based on the reviewers' assessments (anonymous submission model /double blind reviewing/). The accepted papers will be published in the conference proceedings (hard copy, with ISBN number) and on CD-ROM, alongside the main conference's accepted papers. Publication requirements are the same as for all other LTC23 papers (see https://www.ltc.amu.edu.pl/).
Since 2007 selection of revised extended versions of LTC papers have been published in the Springer Verlag LNCS series (sub-series LNAI).
CONTACT
Sanatbek Matlatipov(s.matlatipov@nuu.uz);
Elmurod Kuriyozov (elmurod1202@gmail.com)
(cc Zygmunt Vetulani and ltc23@amu.edu.pl )