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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/634739 |
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| _version_ | 1849307769198346240 |
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| author | Jin Tu Hong-Yan Xu Hua-ming Liu Yong Liu |
| author_facet | Jin Tu Hong-Yan Xu Hua-ming Liu Yong Liu |
| author_sort | Jin Tu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-283bc0ae5d0d41e7b68af53432eeeee7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-283bc0ae5d0d41e7b68af53432eeeee72025-08-20T03:54:38ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/634739 |
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