Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients

Date

2017-01-30

Authors

Zhou, Yan-Ping
Zheng, Xiu-Min

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations and linear differential-difference equations. When there exists only one coefficient having the maximal iterated order or having the maximal iterated type among those having the maximal iterated order, and the above coefficient satisfies certain conditions on its poles, we obtain estimates on the lower bound of the iterated order of the meromorphic solutions. The case p=1 is also discussed and corresponding results are obtained by strengthening some conditions.

Description

Keywords

Linear difference equation, Linear differential-difference equation, Meromorphic solutions, Iterated order, Iterated type

Citation

Zhou, Y. P., & Zheng, X. M. (2017). Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(34), pp. 1-15.

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Attribution 4.0 International

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