An Equivalent Form of Picard's Theorem and Beyond

作者：Li Bao Qin^*

来源：Canadian Mathematical Bulletin, 2018, 61(1): 142-148.

DOI：10.4153/CMB-2017-010-x

• entire function
• Picard's Theorem
• functional equation
• partial differential equation

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.

• 出版日期2018-3