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Full-Text Articles in Physical Sciences and Mathematics

A Criterion For The Solvability Of The Cauchy Problem For The System Of Thermoelasticity Equations, Iqbol Niyozov, Olimjan Maxmudov Dec 2020

A Criterion For The Solvability Of The Cauchy Problem For The System Of Thermoelasticity Equations, Iqbol Niyozov, Olimjan Maxmudov

Scientific Journal of Samarkand University

In this paper, we considered the problem of analytical continuation of the solution of the system equations of the thermoelasticity in bounded domain from its values and values of its strains on part of the boundary of this domain, i.e., the Cauchy’s problem and we give a criterion for the solvability of the Cauchy problem.


Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Yashin Komilovich Khudayberganov Dec 2020

Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Yashin Komilovich Khudayberganov

Central Asian Problems of Modern Science and Education

This work is devoted to the study of an approximate solution of the initial-boundary value problem for the second order mixed type nonhomogeneous differential equation with two degenerate lines. Similar equations have many different applications, for example, boundary value problems for mixed type equations are applicable in various fields of the natural sciences: in problems of laser physics, in magneto hydrodynamics, in the theory of infinitesimal bindings of surfaces, in the theory of shells, in predicting the groundwater level, in plasma modeling, and in mathematical biology. In this paper, based on the idea of A.N. Tikhonov, the conditional correctness of …


Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Y.K. Khudayberganov Nov 2020

Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Y.K. Khudayberganov

Central Asian Problems of Modern Science and Education

This work is devoted to the study of an approximate solution of the initial-boundary value problem for the second order mixed type nonhomogeneous differential equation with two degenerate lines. Similar equations have many different applications, for example, boundary value problems for mixed type equations are applicable in various fields of the natural sciences: in problems of laser physics, in magneto hydrodynamics, in the theory of infinitesimal bindings of surfaces, in the theory of shells, in predicting the groundwater level, in plasma modeling, and in mathematical biology. In this paper, based on the idea of A.N. Tikhonov, the conditional correctness of …


Boundary Value Problem For Nonhomogeneous Mixed-Type Equation With Two Degenerate Lines, K.S. Fayazov, Y. K. Khudayberganov Jun 2019

Boundary Value Problem For Nonhomogeneous Mixed-Type Equation With Two Degenerate Lines, K.S. Fayazov, Y. K. Khudayberganov

Acta of Turin Polytechnic University in Tashkent

In this work, we study boundary value problem for nonhomogeneous mixed-type equation with two degenerate lines. A priori estimate for the solution of the problem is obtained, theorems of uniqueness and conditional stability in the set of correctness are proved. The approximate solution by the regularization method has been constructed.