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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/635604 |
| _version_ | 1819209559369056256 |
|---|---|
| author | Peng Feng Chen Zong-Xuan |
| author_facet | Peng Feng Chen Zong-Xuan |
| author_sort | Peng Feng |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-23T05:57:12Z |
| format | Article |
| id | doaj.art-912c5f1005294fbbbd7958300ce4aeee |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-23T05:57:12Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-912c5f1005294fbbbd7958300ce4aeee2022-12-21T17:57:46ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111635604On the Growth of Solutions of Some Second-Order Linear Differential EquationsPeng FengChen Zong-Xuan<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>http://www.journalofinequalitiesandapplications.com/content/2011/635604 |
| spellingShingle | Peng Feng Chen Zong-Xuan On the Growth of Solutions of Some Second-Order Linear Differential Equations Journal of Inequalities and Applications |
| title | On the Growth of Solutions of Some Second-Order Linear Differential Equations |
| title_full | On the Growth of Solutions of Some Second-Order Linear Differential Equations |
| title_fullStr | On the Growth of Solutions of Some Second-Order Linear Differential Equations |
| title_full_unstemmed | On the Growth of Solutions of Some Second-Order Linear Differential Equations |
| title_short | On the Growth of Solutions of Some Second-Order Linear Differential Equations |
| title_sort | on the growth of solutions of some second order linear differential equations |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/635604 |
| work_keys_str_mv | AT pengfeng onthegrowthofsolutionsofsomesecondorderlineardifferentialequations AT chenzongxuan onthegrowthofsolutionsofsomesecondorderlineardifferentialequations |