PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

doi:10.1007/s10473-020-0217-3

Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (2): 557-571.doi: 10.1007/s10473-020-0217-3

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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).

Abstract

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

CLC Number:

30D35

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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References

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PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

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