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.

引用

页码：142 / 148

页数：7

共 50 条

[31] The Picard-Lindelof's theorem at a regular singular point
Ferreira, Chelo
Lopez, Jose L.
Sinusia, Ester Perez
CARPATHIAN JOURNAL OF MATHEMATICS, 2013, 29 (02) : 167 - 178
[32] Quantum equivalent of the Bertrand's theorem
Gurappa, N
Panigrahi, PK
Raju, TS
Srinivasan, V
MODERN PHYSICS LETTERS A, 2000, 15 (30) : 1851 - 1857
[33] Proof of the generalized picard's little theorem using matrices
1600, Elsevier Science Publ Co Inc, New York, NY, USA (214):
[34] A SHORT PROOF OF AN EQUIVALENT FORM OF SCHROEDER-BERNSTEIN THEOREM
HELLMANN, MS
AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (08): : 770 - &
[35] An Equivalent Form of Antosik-Mikusinski Basic Matrix Theorem
武俊德
李容录
数学进展, 1999, (03) : 268 - 268
[36] TOPOLOGICAL PRODUCT THEOREM EQUIVALENT TO A WEAK FORM OF CHOICE AXIOM
ROBINSON, SM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A25 - A25
[37] A GENERALIZATION OF THE BIG PICARD THEOREM
Constantinescu, Corneliu
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 58 (01): : 63 - 65
[38] A proof of the Great Picard Theorem
Girela, D
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (02) : 271 - 280
[39] About the scope of the Picard theorem
Jorgensen, Vilhelm
MATHEMATISCHE ANNALEN, 1938, 115 : 710 - 719
[40] GENERAL THEOREM OF PICARD TYPE
PETRIDIS, NC
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (04): : 265 - 267

← 1 2 3 4 5 →