On meromorphic solutions of first-order Briot-Bouquet type PDEs

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

关键词: Meromorphic solutions;    Briot-Bouquet partial differential equations;    Functional equations;    Factorization of meromorphic functions;   

DOI  :  10.1016/j.jmaa.2019.123517

来源: Elsevier

【 摘 要 】

Utilizing a theorem of Coman and Poletsky (see [4]) which characterizes the factorization of algebraically dependent meromorphic functions, and the parametrization of the polynomial functional equation they satisfy, along with results from Nevanlinna theory, we obtain results on the meromorphic solutions of the first order Briot-Bouquet type PDEs P (u, u(x)) = 0. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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