Nonlocal Boundary Value Problem with an Integral Condition for a Mixed Type Equation with a Singular Coefficient

We study how a boundary value problem with a nonlocal integral condition of the first kind for a mixed type equation with a singular coefficient in a rectangular domain depends on a numerical parameter occurring in the equation. A uniqueness criterion is established, and theorems on the existence an...

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Bibliographic Details
Published in:Differential equations 2021-02, Vol.57 (2), p.210-220
Main Author: Zaitseva, N. V.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Differential equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We study how a boundary value problem with a nonlocal integral condition of the first kind for a mixed type equation with a singular coefficient in a rectangular domain depends on a numerical parameter occurring in the equation. A uniqueness criterion is established, and theorems on the existence and stability of a solution of the problem are proved. The solution is constructed in closed form, and the convergence of the series in the class of regular solutions is justified.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121020105