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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2021 Volume 110, Issue 2, Pages 297–308 (Mi mzm12871)

On Entire Solutions of a Class of Second-Order Algebraic Differential Equations

A. Ya. Yanchenko

National Research University "Moscow Power Engineering Institute"

Abstract: For second-order algebraic differential equations which have an explicit linear part, we describe all their possible solutions that are entire functions of finite order.

Keywords: algebraic differential equations, entire functions of finite order, entire solutions of differential equations.

UDC: 517.925.7+517.547.22

Received: 18.08.2020
Revised: 23.03.2021

DOI: 10.4213/mzm12871


 English version:
Mathematical Notes, 2021, 110:2, 283–292

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© Steklov Math. Inst. of RAS, 2024