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Some dynamic
Wirtinger-type inequalities and their applications
Ravi P. Agarwal, Martin Bohner, Donal O’Regan and Samir H. Saker |
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Vol. 252 (2011), No. 1, 1–18
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Abstract |
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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. |
Keywords
Wirtinger-type inequality, dynamic equation, time scale
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Mathematical Subject Classification 2000
Primary: 26D10, 26D15, 39A10, 39A12
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Milestones
Received: 22 August 2010
Accepted: 28 October 2010
Published: 8 October 2011
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Authors |
| Ravi P. Agarwal | |
| Department of Mathematical
Sciences Texas A&M University – Kingsville 700 University Boulevard Kingsville, TX 78363-8202 United States |
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| Martin Bohner | |
| Department of Mathematics and
Statistics Missouri University of Science and Technology 400 West 12th Street Rolla, MO 65409-0020 United States |
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| http://web.mst.edu/~bohner/ | |
| Donal O’Regan | |
| School of Mathematics, Statistics
and Applied Mathematics National University of Ireland University Road Galway Ireland |
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| http://www.maths.nuigalway.ie/staff/doregan.shtml | |
| Samir H. Saker | |
| Department of Mathematics King Saud University Riyadh 11451 Saudi Arabia |
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| http://www.mans.edu.eg/pcvs/30040/ | |
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