Constantin's inequality for nabla and diamond-alpha derivative


Creative Commons License

GÜVENİLİR A. F. , Kaymakcalan B., Pelen N. N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2015
  • Doi Number: 10.1186/s13660-015-0681-9
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

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.