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Nonlocal boundary value problems for infinite order partial differential equations with algebraic dependent coefficients. (Ukrainian. English summary) Zbl 1289.35001
Summary: Investigation of a non-local boundary problem for partial differential equations of infinite order with algebraic dependent coefficients is presented. Solvability of this problem is studied. Metric theorems on embedding Sobolev spaces of infinite order and spaces of exponential type are established.
MSC:
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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