Article

A problem with the Frankl and Bitsadze-Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation

M. Kh. RuzievInstitute of Mathematics and Information Technologies, National Academy of Sciences of Republic of Uzbekistan, ul. Durman yuli 29, Tashkent, 100125, Republic of Uzbekistan

Russian Mathematicsjournal2012en

ABI

Abstract

In this paper we study the boundary-value problem with the Frankl and Bitsadze-Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation with a singular coefficient. We prove the existence of a solution by the method of integral equations, and we do its uniqueness with the help of the extremum principle.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.3103/s1066369x12080051

Citations and references

Cited by 3 9 references

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