ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION

Abstract

Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation. The uniqueness of the solution of the problem is proved by the method of a priori estimates, and the existence of the solution of the problem is enlightened to the existence of a solution of the system of the second type Voltaire integral equation.

Authors and Affiliations

Yusupjon Apakov

Keywords

Related Articles

ABOUT A PROBLEM FOR THE DEGENERATING MIXED TYPE EQUATION FRACTIONAL DERIVATIVE

The existence and the uniqueness of solution of local problem for degenerating mixed type equation is investigated. Considering parabolic-hyperbolic equation involve the Caputo fractional derivative. The uniqueness of so...

A BOUNDARY VALUE PROBLEM FOR LOADED DIFFERENTIAL EQUATION WITH THE BARRETT OPERATOR IN THE MAIN PART

In this paper, we study the boundary value problem for loaded differential equations of fractional order with the Barrett operator in the main part.

ON A DYNAMIC HEREDITARITY SYSTEM THAT SIMULATES THE ECONOMIC CYCLE

The paper presents a mathematical model that generalizes the famous Kondratiev cycles model (model Dubovskiy) used to predict economic crises. This generalization is to integrate the memory effect, which occurs frequentl...

THE LINEAR INVERSE PROBLEM FOR THE MIXED TYPE EQUATION OF THE SECOND KIND OF THE SECOND ORDER WITH NONLOCAL BOUNDARY CONDITIONS IN THREE-DIMENSIONAL SPACE

In the present work the problems of correctness of a linear inverse problem for the mixed type equation of the second kind of the second order in three-dimensional space are considered. For this problem, the theorems on...

APPROXIMATION OF A NONLINEAR PARABOLIC FILTERING EQUATION WITH A LOADED MIXED-TYPE EQUATION

In the framework of the development of search methods for effective approximate analytical methods for solving a generalized nonlinear partial differential equation of second order of parabolic type, which is the basis f...

Download PDF file
  • EP ID EP505443
  • DOI 10.18454/2079-6641-2018-21-1-6-20
  • Views 123
  • Downloads 0

How To Cite

Yusupjon Apakov (2018). ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION. Вестник КРАУНЦ. Физико-математические науки, 1(), 6-20. https://europub.co.uk/articles/-A-505443