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Solvability of nonlocal boundary value problems for an equation of mixed type with various boundary conditions. (English. Russian original) Zbl 1411.35213

Differ. Equ. 54, No. 10, 1403-1407 (2018); translation from Differ. Uravn. 54, No. 10, 1429-1432 (2018).
Summary: Two boundary value problems in which one of the conditions is nonlocal and contains a real parameter are studied for an equation of mixed type in a half-strip. Sufficient conditions for the unique solvability of these problems are obtained under some restrictions on the parameter.

MSC:

35M12 Boundary value problems for PDEs of mixed type
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
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References:

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