An Equivalent Form of Picard's Theorem and Beyond

被引：7
|
作者：
Li, Bao Qin [1 ]
机构：
[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2018年 / 61卷 / 01期
关键词：
entire function; Picard's Theorem; functional equation; partial differential equation; MEROMORPHIC SOLUTIONS;
D O I：
10.4153/CMB-2017-010-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives an equivalent form of Picard's theorem via entire solutions of the functional equation f(2) + g(2) = 1 and then its improvements and applications to certain nonlinear (ordinary and partial) differential equations.
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页码：142 / 148
页数：7
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