Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients
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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. Electronic Journal of Differential Equations, 2017(34), pp. 1-15.
Rights
Attribution 4.0 International