关于差分Riccati方程及时滞微分方程的相关结果

Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (4): 832-838.

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Some Results on Difference Riccati Equations and Delay Differential Equations

Qiong Wang¹(),Fang Long²(),Jun Wang^3,*()

¹ Department of Mathematics, Shandong University, Jinan 250100
² Jiangxi Vocational College of Mechanical and Electrical Technology, Nanchang 330013
³ School of Mathematical Sciences, Fudan University, Shanghai 200433

Received:2018-05-14 Online:2019-08-26 Published:2019-09-11
Contact: Jun Wang E-mail:qiongwangsdu@126.com;969356135@qq.com;majwang@fudan.edu.cn
Supported by:
the NSFC(11771090);the NSFC(11571049);the NSFC(11271227);the NSFC(11461070);the Natural Science Foundation of Shanghai(17ZR1402900);the PCSIRT(IRT1264);the Fundamental Research Funds of Shandong University(2017JC019)

Abstract

Abstract:

We investigate difference Riccati equations with rational coefficients and delay differential equations with constant coefficients. For difference Riccati equations with some relation among coefficients, we prove that every transcendental meromorphic solution is of order no less than one. We also consider the rational solutions for delay differential equations.

Key words: Difference Riccati equation, Meromorphic solution, Delay differential equation, Rational solution

CLC Number:

O174.52

Qiong Wang,Fang Long,Jun Wang. Some Results on Difference Riccati Equations and Delay Differential Equations[J].Acta mathematica scientia,Series A, 2019, 39(4): 832-838.

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References 15

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Some Results on Difference Riccati Equations and Delay Differential Equations

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