A problem with conditions given on inner characteristics and on the line of degeneracy for a mixed-type equation with singular coefficients

被引：4

作者：

Ruziev, Menglibay Kholtojibaevich ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

Singular Integral Equation; Unbounded Domain; Unique Solvability; Positive Maximum; Negative Minimum;

D O I：

10.1186/1687-2770-2013-210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In an unbounded domain, we consider a problem with conditions given on inner characteristics in a hyperbolic part of the considered domain and on some parts of the line of parabolic degeneracy. We prove the unique solvability of the mentioned problem with the help of the extremum principle. The proof of solvability is based on the theory of singular integral equations, Wiener-Hopf equations and Fredholm integral equations.

引用

页数：10

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