Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables
نویسندگان
چکیده
Abstract This paper is concerned with description of the existence and forms entire solutions several second-order partial differential-difference equations more general Fermat type. By utilizing Nevanlinna theory meromorphic functions in complex variables we obtain some results on for these equations, which are extensions generalizations previous theorems given by Xu Cao (Mediterr. J. Math. 15:1–14, 2018; Mediterr. 17:1–4, 2020) Liu et al. (J. Anal. Appl. 359:384–393, 2009; Electron. Differ. Equ. 2013:59–110, 2013; Arch. 99:147–155, 2012). Moreover, examples show transcendental finite order such equations.
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2021
ISSN: ['1687-1839', '1687-1847']
DOI: https://doi.org/10.1186/s13662-020-03201-y