The Hyperorder of Solutions of Second-Order Linear Differential Equations
We prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type and nonhomogeneous equation of type is one, where are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/626898 |
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| _version_ | 1832550216772878336 |
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| author | Guowei Zhang |
| author_facet | Guowei Zhang |
| author_sort | Guowei Zhang |
| collection | DOAJ |
| description | We prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type and nonhomogeneous equation of type is one, where are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine. |
| format | Article |
| id | doaj-art-672f302f9c064a0ead6d782b635f4e8b |
| 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-672f302f9c064a0ead6d782b635f4e8b2025-02-03T06:07:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/626898626898The Hyperorder of Solutions of Second-Order Linear Differential EquationsGuowei Zhang0School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaWe prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type and nonhomogeneous equation of type is one, where are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine.http://dx.doi.org/10.1155/2013/626898 |
| spellingShingle | Guowei Zhang The Hyperorder of Solutions of Second-Order Linear Differential Equations Abstract and Applied Analysis |
| title | The Hyperorder of Solutions of Second-Order Linear Differential Equations |
| title_full | The Hyperorder of Solutions of Second-Order Linear Differential Equations |
| title_fullStr | The Hyperorder of Solutions of Second-Order Linear Differential Equations |
| title_full_unstemmed | The Hyperorder of Solutions of Second-Order Linear Differential Equations |
| title_short | The Hyperorder of Solutions of Second-Order Linear Differential Equations |
| title_sort | hyperorder of solutions of second order linear differential equations |
| url | http://dx.doi.org/10.1155/2013/626898 |
| work_keys_str_mv | AT guoweizhang thehyperorderofsolutionsofsecondorderlineardifferentialequations AT guoweizhang hyperorderofsolutionsofsecondorderlineardifferentialequations |