Oscillation and fixed points of derivatives of solutions of some linear differential equations

Authors

  • Abdallah El Farissi
  • Benharrat Bela¨ıdi

DOI:

https://doi.org/10.11113/matematika.v30.n.707

Abstract

In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f(k) + Af = 0 for k > 2 and meromorphic functions of infinite iterated p-order, where A is a meromorphic function of finite iterated p-order Pp (A) = P. We also study the oscillation theory of derivatives of the nonhomogeneous differential equation f(k) + Af = F for k > 2. Keywords: linear differential equations, meromorphic solutions, iterated p-order, iterated exponent of convergence of the sequence of distinct zeros. 2010 Mathematics Subject Classification: 34M10, 30D35.

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Published

01-12-2014

Issue

Volume 30 (December 2014)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Oscillation and fixed points of derivatives of solutions of some linear differential equations. (2014). MATEMATIKA, 30, 159-168. https://doi.org/10.11113/matematika.v30.n.707