Bargmann-Type Inequality for Half-Linear Differential Operators
<p/> <p>We consider the perturbed half-linear Euler differential equation <inline-formula> <graphic file="1029-242X-2009-104043-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2009-104043-i2.gif"/></inline-formula...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/104043 |
| _version_ | 1811345259173511168 |
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| author | Došlý Ondřej Bognár Gabriella |
| author_facet | Došlý Ondřej Bognár Gabriella |
| author_sort | Došlý Ondřej |
| collection | DOAJ |
| description | <p/> <p>We consider the perturbed half-linear Euler differential equation <inline-formula> <graphic file="1029-242X-2009-104043-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2009-104043-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2009-104043-i3.gif"/></inline-formula>, with the subcritical coefficient <inline-formula> <graphic file="1029-242X-2009-104043-i4.gif"/></inline-formula>. We establish a Bargmann-type necessary condition for the existence of a nontrivial solution of this equation with at least <inline-formula> <graphic file="1029-242X-2009-104043-i5.gif"/></inline-formula> zero points in <inline-formula> <graphic file="1029-242X-2009-104043-i6.gif"/></inline-formula>.</p> |
| first_indexed | 2024-04-13T20:00:34Z |
| format | Article |
| id | doaj.art-966f201d41d64731ac94b5b3c88da922 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T20:00:34Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-966f201d41d64731ac94b5b3c88da9222022-12-22T02:32:13ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091104043Bargmann-Type Inequality for Half-Linear Differential OperatorsDošlý OndřejBognár Gabriella<p/> <p>We consider the perturbed half-linear Euler differential equation <inline-formula> <graphic file="1029-242X-2009-104043-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2009-104043-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2009-104043-i3.gif"/></inline-formula>, with the subcritical coefficient <inline-formula> <graphic file="1029-242X-2009-104043-i4.gif"/></inline-formula>. We establish a Bargmann-type necessary condition for the existence of a nontrivial solution of this equation with at least <inline-formula> <graphic file="1029-242X-2009-104043-i5.gif"/></inline-formula> zero points in <inline-formula> <graphic file="1029-242X-2009-104043-i6.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2009/104043 |
| spellingShingle | Došlý Ondřej Bognár Gabriella Bargmann-Type Inequality for Half-Linear Differential Operators Journal of Inequalities and Applications |
| title | Bargmann-Type Inequality for Half-Linear Differential Operators |
| title_full | Bargmann-Type Inequality for Half-Linear Differential Operators |
| title_fullStr | Bargmann-Type Inequality for Half-Linear Differential Operators |
| title_full_unstemmed | Bargmann-Type Inequality for Half-Linear Differential Operators |
| title_short | Bargmann-Type Inequality for Half-Linear Differential Operators |
| title_sort | bargmann type inequality for half linear differential operators |
| url | http://www.journalofinequalitiesandapplications.com/content/2009/104043 |
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