Oscillation of higher-order linear differential equations with entire coefficients
This article is devoted to studying the solutions to the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+dots +A_0(z)f=0,quad kge 2, $$ where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2010-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/81/abstr.html |
| _version_ | 1818783262606098432 |
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| author | Zhi Gang Huang Gui Rong Sun |
| author_facet | Zhi Gang Huang Gui Rong Sun |
| author_sort | Zhi Gang Huang |
| collection | DOAJ |
| description | This article is devoted to studying the solutions to the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+dots +A_0(z)f=0,quad kge 2, $$ where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation. |
| first_indexed | 2024-12-18T13:01:24Z |
| format | Article |
| id | doaj.art-5396181916654cedb3bfc48d87b29480 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T13:01:24Z |
| publishDate | 2010-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5396181916654cedb3bfc48d87b294802022-12-21T21:07:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-06-01201081,111Oscillation of higher-order linear differential equations with entire coefficientsZhi Gang HuangGui Rong SunThis article is devoted to studying the solutions to the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+dots +A_0(z)f=0,quad kge 2, $$ where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation.http://ejde.math.txstate.edu/Volumes/2010/81/abstr.htmlLinear differential equationorderhyper order |
| spellingShingle | Zhi Gang Huang Gui Rong Sun Oscillation of higher-order linear differential equations with entire coefficients Electronic Journal of Differential Equations Linear differential equation order hyper order |
| title | Oscillation of higher-order linear differential equations with entire coefficients |
| title_full | Oscillation of higher-order linear differential equations with entire coefficients |
| title_fullStr | Oscillation of higher-order linear differential equations with entire coefficients |
| title_full_unstemmed | Oscillation of higher-order linear differential equations with entire coefficients |
| title_short | Oscillation of higher-order linear differential equations with entire coefficients |
| title_sort | oscillation of higher order linear differential equations with entire coefficients |
| topic | Linear differential equation order hyper order |
| url | http://ejde.math.txstate.edu/Volumes/2010/81/abstr.html |
| work_keys_str_mv | AT zhiganghuang oscillationofhigherorderlineardifferentialequationswithentirecoefficients AT guirongsun oscillationofhigherorderlineardifferentialequationswithentirecoefficients |