On a problem with shift for mixed type equation with two degeneration lines

For mixed type equation with two perpendicular lines of degeneracy we consider the boundary-value problem with nonlocal condition, connecting with the help of generalized operators of fractional integro-differentiation the trace of the normal derivative of the unknown function on the transition line...

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Bibliographic Details
Published in:Russian mathematics 2017, Vol.61 (1), p.47-52
Main Author: Repin, O. A.
Format: Article
Language:English
Subjects:
Boundary value problems
Degeneration
Differentiation
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Summary:For mixed type equation with two perpendicular lines of degeneracy we consider the boundary-value problem with nonlocal condition, connecting with the help of generalized operators of fractional integro-differentiation the trace of the normal derivative of the unknown function on the transition line and its own trace on the control characteristics and the line of degeneracy. The author proves the unique solvability of the problem.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X17010066