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Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order

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  • Jin Tu
  • Hong-Yan Xu
  • Hua-ming Liu
  • Yong Liu

Abstract

The authors introduce the lacunary series of finite iterated order and use them to investigate the growth of solutions of higher-order linear differential equations with entire coefficients of finite iterated order and obtain some results which improve and extend some previous results of Belaidi, 2006, Cao and Yi, 2007, Kinnunen, 1998, Laine and Wu, 2000, Tu and Chen, 2009, Tu and Deng, 2008, Tu and Deng, 2010, Tu and Liu, 2009, and Tu and Long, 2009.

Suggested Citation

  • Jin Tu & Hong-Yan Xu & Hua-ming Liu & Yong Liu, 2013. "Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:634739
    DOI: 10.1155/2013/634739
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