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

Jin Tu | Zendy; Hong-Yan Xu | Zendy; Liu Hua-ming | Zendy; Yong Liu | Zendy

Open Access

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

Author(s) -

Jin Tu,

Hong-Yan Xu,

Liu Hua-ming,

Yong Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/634739

Subject(s) - lacunary function , mathematics , order (exchange) , iterated function , series (stratigraphy) , linear differential equation , differential equation , mathematical analysis , pure mathematics , paleontology , economics , biology , finance

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. © 2013 Jin Tu et al.

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