PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

doi:10.1007/s10473-020-0217-3

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (2): 557-571.doi: 10.1007/s10473-020-0217-3

PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

刘曼莉¹, 高凌云²

1. School of Mathematics, Shandong University, Jinan 250100, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China

收稿日期:2019-02-28 修回日期:2019-05-16 出版日期:2020-04-25 发布日期:2020-05-26
通讯作者: Lingyun GAO E-mail:tgaoly@jnu.edu.cn
作者简介:Manli LIU,E-mail:lml6641@163.com
基金资助:
This work was partially supported by NSFC of China (11271227,11271161), PCSIRT (IRT1264), the Fundamental Research Funds of Shandong University (2017JC019), and NSFC of Shandong (ZR2018MA014).

PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

Manli LIU¹, Lingyun GAO²

1. School of Mathematics, Shandong University, Jinan 250100, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China

Received:2019-02-28 Revised:2019-05-16 Online:2020-04-25 Published:2020-05-26
Contact: Lingyun GAO E-mail:tgaoly@jnu.edu.cn
Supported by:
This work was partially supported by NSFC of China (11271227,11271161), PCSIRT (IRT1264), the Fundamental Research Funds of Shandong University (2017JC019), and NSFC of Shandong (ZR2018MA014).

摘要/Abstract

摘要： With the aid of Nevanlinna value distribution theory, differential equation theory and difference equation theory, we estimate the non-integrated counting function of meromorphic solutions on composite functional-differential equations under proper conditions.We also get the form of meromorphic solutions on a type of system of composite functional equations. Examples are constructed to show that our results are accurate.

关键词: Meromorphic solution, composite functional-differential equations, Δ-difference

Abstract: With the aid of Nevanlinna value distribution theory, differential equation theory and difference equation theory, we estimate the non-integrated counting function of meromorphic solutions on composite functional-differential equations under proper conditions.We also get the form of meromorphic solutions on a type of system of composite functional equations. Examples are constructed to show that our results are accurate.

Key words: Meromorphic solution, composite functional-differential equations, Δ-difference

中图分类号:

30D35

刘曼莉, 高凌云. PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2020, 40(2): 557-571.

Manli LIU, Lingyun GAO. PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2020, 40(2): 557-571.

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PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

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