Natural Science, Mathematics, 2025
NONSELFADJOINT DEGENERATE DIFFERENTIAL OPERATOR EQUATIONS OF HIGHER ORDER ON INFINITE INTERVAL
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Submitted: 2025-02-12; Published: 2025-02-12
© 2025 by author(s) and The Gufo Inc.
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Abstract
In the paper the Dirichlet problem for some class of degenerate nonselfadjoint differential operator equations of higher order on the infinite interval are considered.
Existence and uniqueness of the generalized solution of Dirichlet problem is proved, some analogue of the Keldysh theorem for the corresponding onedimensional operator is established.