The $\phi$-order of solutions of linear differential equations in the unit disc
In this paper, some results on the $\phi$-order of solutions of linear differential equations with coefficients in the unit disc are obtained. These results yield a sharp lower bound for the sums of $\phi$-order of functions in the solution bases. The results we obtain are a generalization of a rece...
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-02-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1946 |
| _version_ | 1797830646873194496 |
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| author | Lipeng Xiao |
| author_facet | Lipeng Xiao |
| author_sort | Lipeng Xiao |
| collection | DOAJ |
| description | In this paper, some results on the $\phi$-order of solutions of linear differential equations with coefficients in the unit disc are obtained. These results yield a sharp lower bound for the sums of $\phi$-order of functions in the solution bases. The results we obtain are a generalization of a recent result due to I. Chyzhykov, J. Heittokangas and J. Rättyä. |
| first_indexed | 2024-04-09T13:39:25Z |
| format | Article |
| id | doaj.art-6445eb236ca24ecbacb96a8f0f188ef4 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:25Z |
| publishDate | 2013-02-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-6445eb236ca24ecbacb96a8f0f188ef42023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-02-0120131311710.14232/ejqtde.2013.1.131946The $\phi$-order of solutions of linear differential equations in the unit discLipeng Xiao0Institute of Mathematics and Informations, Jiangxi Normal University, Nanchang, P. R. ChinaIn this paper, some results on the $\phi$-order of solutions of linear differential equations with coefficients in the unit disc are obtained. These results yield a sharp lower bound for the sums of $\phi$-order of functions in the solution bases. The results we obtain are a generalization of a recent result due to I. Chyzhykov, J. Heittokangas and J. Rättyä.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1946differential equation$phi$-orderunit disc |
| spellingShingle | Lipeng Xiao The $\phi$-order of solutions of linear differential equations in the unit disc Electronic Journal of Qualitative Theory of Differential Equations differential equation $phi$-order unit disc |
| title | The $\phi$-order of solutions of linear differential equations in the unit disc |
| title_full | The $\phi$-order of solutions of linear differential equations in the unit disc |
| title_fullStr | The $\phi$-order of solutions of linear differential equations in the unit disc |
| title_full_unstemmed | The $\phi$-order of solutions of linear differential equations in the unit disc |
| title_short | The $\phi$-order of solutions of linear differential equations in the unit disc |
| title_sort | phi order of solutions of linear differential equations in the unit disc |
| topic | differential equation $phi$-order unit disc |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1946 |
| work_keys_str_mv | AT lipengxiao thephiorderofsolutionsoflineardifferentialequationsintheunitdisc AT lipengxiao phiorderofsolutionsoflineardifferentialequationsintheunitdisc |