New Inequalities of Opial's Type on Time Scales and Some of Their Applications
We will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results will be applied on seco...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/362526 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550279120158720 |
|---|---|
| author | Samir H. Saker |
| author_facet | Samir H. Saker |
| author_sort | Samir H. Saker |
| collection | DOAJ |
| description | We will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results will be applied on second-order half-linear dynamic equations on time scales to prove several results related to the spacing between consecutive zeros of solutions and the spacing between zeros of a solution and/or its derivative. The results also yield conditions for disfocality of these equations. |
| format | Article |
| id | doaj-art-6bb60d3584724091a5669757802b4a33 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6bb60d3584724091a5669757802b4a332025-02-03T06:07:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/362526362526New Inequalities of Opial's Type on Time Scales and Some of Their ApplicationsSamir H. Saker0College of Science Research Centre, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results will be applied on second-order half-linear dynamic equations on time scales to prove several results related to the spacing between consecutive zeros of solutions and the spacing between zeros of a solution and/or its derivative. The results also yield conditions for disfocality of these equations.http://dx.doi.org/10.1155/2012/362526 |
| spellingShingle | Samir H. Saker New Inequalities of Opial's Type on Time Scales and Some of Their Applications Discrete Dynamics in Nature and Society |
| title | New Inequalities of Opial's Type on Time Scales and Some of Their Applications |
| title_full | New Inequalities of Opial's Type on Time Scales and Some of Their Applications |
| title_fullStr | New Inequalities of Opial's Type on Time Scales and Some of Their Applications |
| title_full_unstemmed | New Inequalities of Opial's Type on Time Scales and Some of Their Applications |
| title_short | New Inequalities of Opial's Type on Time Scales and Some of Their Applications |
| title_sort | new inequalities of opial s type on time scales and some of their applications |
| url | http://dx.doi.org/10.1155/2012/362526 |
| work_keys_str_mv | AT samirhsaker newinequalitiesofopialstypeontimescalesandsomeoftheirapplications |