Abstract
In this paper, we present some new Wirtinger-type inequalities on time scales. As special cases, some new continuous and discrete Wirtinger-type inequalities are given. The obtained inequalities are applied to a certain class of half-linear dynamic equations on time scales in order to establish sufficient conditions for disconjugacy.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | PACIFIC JOURNAL OF MATHEMATICS |
| Volume | 252 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jul 2011 |
Keywords
- Dynamic equation
- riemann zeta-function
- Time scale
- time scales
- Wirtinger-type inequality
- zeros
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