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Boundary value problems for functional differential canonical equations of mixed type. (English. Russian original) Zbl 1394.35293

Dokl. Math. 96, No. 3, 561-567 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 133-137 (2017).
Summary: Boundary value problems for equations of mixed type with multiple functional lead and lag are studied. General solutions of such equations are constructed. The problems are uniquely solvable.

MSC:

35M31 Initial value problems for mixed-type systems of PDEs
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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