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Remarks on Meromorphic Solutions of Some Delay-Differential Equations

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Abstract

In this paper, we consider meromorphic solutions of delay-differential equations. For equations of some particular form, our focus is to looking at the zeros and poles of solutions. As to equations of general form, we offer results reminiscent to the classical Malmquist theorem. In addition, we discuss briefly some analogous results for q-delay-differential equations and delay-differential systems.

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Authors and Affiliations

  1. Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, 80101, Joenssu, Finland

    I. Laine

  2. Laboratory of Pure and Applied Mathematics, Department of Mathematics, University of Mostaganem (UMAB), B. P. 227, 27000, Mostaganem, Algeria

    Z. Latreuch

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  1. I. Laine
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  2. Z. Latreuch
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Correspondence to Z. Latreuch.

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Laine, I., Latreuch, Z. Remarks on Meromorphic Solutions of Some Delay-Differential Equations. Anal Math 48, 1081–1104 (2022). https://doi.org/10.1007/s10476-022-0172-4

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  • DOI: https://doi.org/10.1007/s10476-022-0172-4

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