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Finite-Order Entire Solutions of a Class of Algebraic Differential Equations

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Abstract

We study the properties of finite-order entire solutions of a class of algebraic differential equations. It is shown that, under certain conditions, all such solutions are solutions of linear differential equations whose coefficients are polynomials in the independent complex variable.

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REFERENCES

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ACKNOWLEDGMENTS

The authors are grateful to the referee for remarks that helped improving this paper.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia

    V. A. Podkopaeva & A. Ya. Yanchenko

Authors
  1. V. A. Podkopaeva
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  2. A. Ya. Yanchenko
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Corresponding authors

Correspondence to V. A. Podkopaeva or A. Ya. Yanchenko.

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Translated by V. Potapchouck

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Podkopaeva, V.A., Yanchenko, A.Y. Finite-Order Entire Solutions of a Class of Algebraic Differential Equations. Diff Equat 56, 1285–1289 (2020). https://doi.org/10.1134/S00122661200100043

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  • DOI: https://doi.org/10.1134/S00122661200100043

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