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An Equivalent Form of Picard’s Theorem and Beyond

Published online by Cambridge University Press:  20 November 2018

Bao Qin Li
Bao Qin Li*
Affiliation:
Department of Mathematics and Statistics, Florida International University, Miami, FL 33199 USA, e-mail: libaoqin@fiu.edu
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Abstract

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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.

Keywords

30D2032A1535F20entire functionPicard’s Theoremfunctional equationpartial differential equation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 1 , 01 March 2018 , pp. 142 - 148
Copyright
Copyright © Canadian Mathematical Society 2018

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