The Problem in the Unbounded Domain with the Frankl Condition on the Segment of the Degeneration Line and with a Missing Gellerstedt Condition for a Class of Mixed-Type Equations

Abstract

In an unbounded domain, for a class of equations of mixed type with a singular coefficient, the correctness of the problem is studied in which one of the internal characteristics is freed from the Gellerstedt condition and this missing local condition is replaced by an analogue of the Frankl condition on the degeneration line. The uniqueness of the solution to the stated problem is proved using the extremum principle, while the existence of a solution to the problem is proved by the method of integral equations.

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DOI

10.3103/s1066369x23080042

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