Two Weighted Norm Dynamic Inequalities with Applications on Second Order Half-Linear Dynamic Equations

• Saker, Samir H. ^[1] ; Osman, Mahmoud M. ^[3] ; Anderson, Douglas R. ^[2]
  1. [1] Mansoura University

     Mansoura University

     Egipto

     
  2. [2] Concordia College

     Concordia College

     City of Moorhead, Estados Unidos

     
  3. [3] New Mansoura University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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  • In this paper, we prove some new characterizations of two weighted functions u and v in norm inequalities of Hardy’s type, in the context of dynamic inequalities on time scales T. These norm inequalities studied the boundedness of the operator of Hardy’s type between the weighted spaces Lpv(T) and Lqu(T). The paper covers the different cases when 1

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