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

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

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, 20...

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Main Authors: Jin Tu, Hong-Yan Xu, Hua-ming Liu, Yong Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/634739
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spelling doaj-283bc0ae5d0d41e7b68af53432eeeee72020-11-24T23:49:20ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/634739634739Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated OrderJin Tu0Hong-Yan Xu1Hua-ming Liu2Yong Liu3College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, ChinaSchool of Sciences, Jiangxi Agricultural University, Nanchang 330045, ChinaDepartment of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, ChinaThe 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.http://dx.doi.org/10.1155/2013/634739
collection DOAJ
language English
format Article
sources DOAJ
author Jin Tu
Hong-Yan Xu
Hua-ming Liu
Yong Liu
spellingShingle Jin Tu
Hong-Yan Xu
Hua-ming Liu
Yong Liu
Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
Abstract and Applied Analysis
author_facet Jin Tu
Hong-Yan Xu
Hua-ming Liu
Yong Liu
author_sort Jin Tu
title Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
title_short Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
title_full Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
title_fullStr Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
title_full_unstemmed Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order
title_sort complex oscillation of higher-order linear differential equations with coefficients being lacunary series of finite iterated order
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/634739
work_keys_str_mv AT jintu complexoscillationofhigherorderlineardifferentialequationswithcoefficientsbeinglacunaryseriesoffiniteiteratedorder
AT hongyanxu complexoscillationofhigherorderlineardifferentialequationswithcoefficientsbeinglacunaryseriesoffiniteiteratedorder
AT huamingliu complexoscillationofhigherorderlineardifferentialequationswithcoefficientsbeinglacunaryseriesoffiniteiteratedorder
AT yongliu complexoscillationofhigherorderlineardifferentialequationswithcoefficientsbeinglacunaryseriesoffiniteiteratedorder
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