On a Frankl-Type Boundary-Value Problem for a Mixed-Type Degenerating Equation

We study the existence and uniqueness of solutions for an analog of the Frankl-type boundary-value problem for a parabolic-hyperbolic-type equation. The uniqueness of the solution is proved by using the principle of extremum, whereas the existence is proved by the method of integral equations.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2020-03, Vol.71 (10), p.1541-1554
Main Authors: Islomov, B. I., Ochilova, N. K., Sadarangani, K. S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Boundary value problems
Differential equations
Geometry
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
Uniqueness
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Description
Summary:We study the existence and uniqueness of solutions for an analog of the Frankl-type boundary-value problem for a parabolic-hyperbolic-type equation. The uniqueness of the solution is proved by using the principle of extremum, whereas the existence is proved by the method of integral equations.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01730-z