ULTRA-DISCRETE EQUATIONS AND TROPICAL COUNTERPARTS OF SOME COMPLEX ANALYSIS RESULTS

被引：0

作者：

Chen, Min-Feng ^{[1
,2
]}

Gao, Zong-Sheng ^{[1
,2
]}

Zhang, Ji-Long ^{[1
,2
]}

机构：

[1] Beihang Univ, LMIB, Beijing 100191, Peoples R China

[2] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2018年 / 41卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Tropical Nevanlinna theory; Tropical entire functions; Value distribution; Uniqueness; Ultra-discrete equations; MEROMORPHIC FUNCTIONS; DIFFERENCE-EQUATIONS; NONLINEAR DIFFERENCE; INTEGRABILITY; UNIQUENESS;

D O I：

10.2996/kmj/1530496839

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A tropical version of Nevanlinna theory describes value distribution of continuous piecewise linear functions of a real variable. In this paper, we present some results on value distribution theory of tropical difference polynomials and uniqueness theory of tropical entire functions. Application to some ultra-discrete equations is also given.

引用

页码：264 / 283

页数：20

共 16 条

[1]

Cherry W., 2001, NEVANLINNAS THEORY V

[2]

Fang ML., 1996, J NANJING U MATH BIQ, V13, P44

[3] Growth and integrability in discrete systems [J].

Grammaticos, B ;

Tamizhmani, T ;

Ramani, A ;

Tamizhmani, KM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (18) :3811-3821

[4] Existence of finite-order meromorphic solutions as a detector of integrability in difference equations [J].

Halburd, R. G. ;

Korhonen, R. J. .

PHYSICA D-NONLINEAR PHENOMENA, 2006, 218 (02) :191-203

[5] Tropical Nevanlinna Theory and Ultradiscrete Equations [J].

Halburd, Rodney G. ;

Southall, Neil J. .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, 2009 (05) :887-911

[6]

Hayman W. K., 1964, Meromorphic functions

[7]

Korhonen R., 2015, Tropical Value Distribution Theory and Ultra-discrete Equations

[8]

Laine I., 1993, Nevanlinna theory and complex differential equations

[9] TROPICAL VARIANTS OF SOME COMPLEX ANALYSIS RESULTS [J].

Laine, Ilpo ;

Liu, Kai ;

Tohge, Kazuya .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2016, 41 (02) :923-946

[10] Tropical Nevanlinna theory and second main theorem [J].

Laine, Ilpo ;

Tohge, Kazuya .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2011, 102 :883-922

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