An Equivalent Form of Picard’s Theorem and Beyond
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 142-148
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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.
Mots-clés :
30D20, 32A15, 35F20, entire function, Picard’s Theorem, functional equation, partial differential equation
Li, Bao Qin. An Equivalent Form of Picard’s Theorem and Beyond. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 142-148. doi: 10.4153/CMB-2017-010-x
@article{10_4153_CMB_2017_010_x,
author = {Li, Bao Qin},
title = {An {Equivalent} {Form} of {Picard{\textquoteright}s} {Theorem} and {Beyond}},
journal = {Canadian mathematical bulletin},
pages = {142--148},
year = {2018},
volume = {61},
number = {1},
doi = {10.4153/CMB-2017-010-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-010-x/}
}
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