A Boundary Value Problem with a Conormal Derivative for a Mixed-Type Equation of the Second Kind with a Conjugation Condition of the Frankl Type

被引：2

作者：

Islomov, B. I. ^{[1
]}

Abdullayev, A. A. ^{[2
]}

机构：

[1] Ulugbek Natl Univ Uzbekistan, Tashkent 700174, Uzbekistan

[2] Tashkent Inst Irrigat & Agr Mechanizat Engineers, Tashkent 100000, Uzbekistan

来源：

RUSSIAN MATHEMATICS | 2022年 / 66卷 / 09期

关键词：

equation of the second kind; extremum principle; Wiener-Hopf equation; convolution-type equation; Green's function; uniqueness and existence of a solution; PARALLEL CHARACTERISTICS; GELLERSTEDT EQUATION; HYPERBOLIC EQUATION; TRICOMI PROBLEM; DEGENERATION; REPRESENTATION;

D O I：

10.3103/S1066369X2209002X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using the properties of generalized solutions in both the hyperbolic part and the elliptic part of a mixed domain, we study a boundary value problem with a conormal derivative for a mixed type equation of the second kind with Frankl-type conditions. The uniqueness of the solution to the problem under study is proven using the extremum principle, and its existence is proven by the method of integral equations. The theory of singular integral equations and Wiener-Hopf and Fredholm integral equations of the second kind are used to prove the existence of a solution to the problem.

引用

页码：11 / 25

页数：15

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