Linear Operator-Differential Equation with Generalized Quasipolynomial on the Right-Hand Side


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We prove an existence and uniqueness theorem for the linear differential equation u′(z) = Au(z)+eγzf(z), where A is a closed operator and f is an entgire vector-valued function of zero exponential type. Bibliography: 10 titles.

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S. Gefter

Karazin Kharkiv National University

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Email: gefter@univer.kharkov.ua
乌克兰, 4, pl. Svobody, Kharkiv, 61000

A. Piven’

Karazin Kharkiv National University

Email: gefter@univer.kharkov.ua
乌克兰, 4, pl. Svobody, Kharkiv, 61000

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