On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems
Abstract We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered prob...
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SpringerOpen
2017-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1377-0 |
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doaj-6da7bd3acc8e4c2f95750fcb9e4d6a012020-11-25T00:45:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-05-01201711910.1186/s13660-017-1377-0On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systemsMohamed Jleli0Bessem Samet1Department of Mathematics, College of Science, King Saud UniversityDepartment of Mathematics, College of Science, King Saud UniversityAbstract We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.http://link.springer.com/article/10.1186/s13660-017-1377-0Lyapunov-type inequalities( p , q ) $(p,q)$ -Laplaciansystemgeneralized eigenvaluesgeneralized spectrum |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohamed Jleli Bessem Samet |
| spellingShingle |
Mohamed Jleli Bessem Samet On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems Journal of Inequalities and Applications Lyapunov-type inequalities ( p , q ) $(p,q)$ -Laplacian system generalized eigenvalues generalized spectrum |
| author_facet |
Mohamed Jleli Bessem Samet |
| author_sort |
Mohamed Jleli |
| title |
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems |
| title_short |
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems |
| title_full |
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems |
| title_fullStr |
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems |
| title_full_unstemmed |
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems |
| title_sort |
on lyapunov-type inequalities for ( p , q ) $(p,q)$ -laplacian systems |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2017-05-01 |
| description |
Abstract We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem. |
| topic |
Lyapunov-type inequalities ( p , q ) $(p,q)$ -Laplacian system generalized eigenvalues generalized spectrum |
| url |
http://link.springer.com/article/10.1186/s13660-017-1377-0 |
| work_keys_str_mv |
AT mohamedjleli onlyapunovtypeinequalitiesforpqpqlaplaciansystems AT bessemsamet onlyapunovtypeinequalitiesforpqpqlaplaciansystems |
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1725269451578802176 |