On the Growth of Solutions of Some Second-Order Linear Differential Equations
<p/> <p>We investigate the growth of solutions of <inline-formula> <graphic file="1029-242X-2011-635604-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2011-635604-i2.gif"/></inline-formula> and <inlin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/635604 |
| Summary: | <p/> <p>We investigate the growth of solutions of <inline-formula> <graphic file="1029-242X-2011-635604-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2011-635604-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2011-635604-i3.gif"/></inline-formula> are entire functions. When <inline-formula> <graphic file="1029-242X-2011-635604-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2011-635604-i5.gif"/></inline-formula> satisfy some conditions, we prove that every nonzero solution of the above equation has infinite order and hyper-order 1, which improve the previous results.</p> |
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| ISSN: | 1025-5834 1029-242X |