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


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Abstract

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.

About the authors

S. L. Gefter

Karazin Kharkiv National University

Author for correspondence.
Email: gefter@univer.kharkov.ua
Ukraine, 4, pl. Svobody, Kharkiv, 61000

A. L. Piven’

Karazin Kharkiv National University

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

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