Lyapunov Inequalities and Applications - Couverture rigide

Agarwal, Ravi P.; Bohner, Martin; Özbekler, Abdullah

 
9783030690281: Lyapunov Inequalities and Applications
Couverture rigide
ISBN 10 : 3030690288 ISBN 13 : 9783030690281
Editeur : Springer Nature Switzerland AG, 2021

Synopsis

This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address.

This survey starts by introducing basic applications of Lyapunov's inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems.

Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

​Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA, and a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA.
Martin Bohner is the Curators' Distinguished Professor of Mathematics and Statistics at Missouri S&T, Rolla, Missouri, USA.
Abdullah Özbekler is a Professor at Atilim University, Department of Mathematics, Ankara, Turkey.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Nature Switzerland AG
Date d'édition
2021
Langue
anglais
ISBN 10 
3030690288
ISBN 13 
9783030690281
Reliure
Relié
Numéro d'édition
1
Nombre de pages
620
Coordonnées du fabricant
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