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 |
| Summary: | 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. |
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| ISSN: | 1417-3875 |