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Dynamic Inequalities On Time Scales, 2014

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Dynamic Inequalities On Time Scales

This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics.

In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and ?ebyšv's inequality.

Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

Preliminaries.- Basic Inequalities.- Opial Inequalities.- Lyapunov Inequalities.- Halanay Inequalities.- Wirtinger Inequalities.
Ravi P Agarwal Department of Mathematics Texas A&M University–Kingsville Kingsville, Texas, USA Donal O’Regan School of Mathematics, Statistics and Applied Mathematics National University of Ireland Galway, Ireland Samir H Saker Department of Mathematics Mansoura University Mansoura, Egypt.
Provides an analysis of a variety of important integral inequalities Using Halanay’s inequalities and the properties of exponential function on time scales, this book establishes new conditions that lead to stability for nonlinear dynamic equations Develops a unified approach to handling multiple dynamic systems simultaneously using the recently-developed theory of dynamic systems on time scales Includes supplementary material: sn.pub/extras

Date de parution :

Ouvrage de 256 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

52,74 €

Ajouter au panier

Date de parution :

Ouvrage de 256 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

52,74 €

Ajouter au panier

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