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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)+eγz f(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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Authors and Affiliations

  1. Karazin Kharkiv National University, 4, pl. Svobody, Kharkiv, 61000, Ukraine

    S. L. Gefter & A. L. Piven’

Authors
  1. S. L. Gefter
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  2. A. L. Piven’
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Correspondence to S. L. Gefter.

Additional information

Translated from Problemy Matematicheskogo Analiza 91, 2018, pp. 53-60.

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Gefter, S.L., Piven’, A.L. Linear Operator-Differential Equation with Generalized Quasipolynomial on the Right-Hand Side. J Math Sci 231, 338–346 (2018). https://doi.org/10.1007/s10958-018-3823-z

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  • DOI: https://doi.org/10.1007/s10958-018-3823-z

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