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Constantin’s inequality for nabla and diamond-alpha derivative

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2015-5-28
Güvenilir, Ayşe Feyza
Kaymakçalan, Billur
Pelen, Neslihan Nesliye
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.