Guvenilir, Ayse Feza2019-07-012019-07-01201510.1186/s13660-015-0681-9http://hdl.handle.net/20.500.12575/66955Calculus 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.enPERTURBED DIFFERENTIAL-EQUATIONSTIME SCALESConstantin's inequality for nabla and diamond-alpha derivativeArticle0117