Constantin’s inequality for nabla and diamond-alpha derivative

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10.1186:s13660-015-0681-9.pdf

Date

2015-5-28

Author

Güvenilir, Ayşe Feyza
Kaymakçalan, Billur
Pelen, Neslihan Nesliye

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Calculus for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed theory. Our aim is to investigate Constantin's inequality on time scales that is an important tool used in determining some properties of various dynamic equations such as global existence, uniqueness and stability. In this paper, Constantin's inequality is investigated in particular for nabla and diamond-alpha derivatives.

Subject Keywords

Constantin's inequality, Nabla differentiation, Nabla integration, Diamond-alpha differentiation, Diamond-alpha integration

URI

https://hdl.handle.net/11511/51151

Journal

Journal of Inequalities and Applications

DOI

https://doi.org/10.1186/s13660-015-0681-9

Collections

Department of Mathematics, Article

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Citation Formats

A. F. Güvenilir, B. Kaymakçalan, and N. N. Pelen, “Constantin’s inequality for nabla and diamond-alpha derivative,” Journal of Inequalities and Applications, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51151.