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Lyapunov inequalities and applications

Agarwal, Ravi P.

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Lyapunov inequalities and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lyapunov inequalities and applications/ by Ravi P. Agarwal, Martin Bohner, Abdullah Ozbekler.
Author:	Agarwal, Ravi P.
other author:	Bohner, Martin.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 607 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Lyapunov-Type Inequalities for Second-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Half-Linear Differential Equations -- Lyapunov-Type Inequalities for Nonlinear Differential Systems -- Lyapunov-Type Inequalities for Fractional Differential Equations -- Lyapunov-Type Inequalities for Partial Differential Equations -- Lyapunov-Type Inequalities for Difference Equations -- Lyapunov-Type Inequalities for Dynamic Equations on Time Scales -- References -- Index.
Contained By:	Springer Nature eBook
Subject:	Lyapunov functions. -
Online resource:	https://doi.org/10.1007/978-3-030-69029-8
ISBN:	9783030690298

Lyapunov inequalities and applications
Agarwal, Ravi P.

Lyapunov inequalities and applications[electronic resource] /by Ravi P. Agarwal, Martin Bohner, Abdullah Ozbekler. - Cham :Springer International Publishing :2021. - xiii, 607 p. :ill., digital ;24 cm.

Preface -- Lyapunov-Type Inequalities for Second-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Half-Linear Differential Equations -- Lyapunov-Type Inequalities for Nonlinear Differential Systems -- Lyapunov-Type Inequalities for Fractional Differential Equations -- Lyapunov-Type Inequalities for Partial Differential Equations -- Lyapunov-Type Inequalities for Difference Equations -- Lyapunov-Type Inequalities for Dynamic Equations on Time Scales -- References -- Index.

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.

ISBN: 9783030690298

Standard No.: 10.1007/978-3-030-69029-8doiSubjects--Topical Terms:

596346
Lyapunov functions.

LC Class. No.: QA871 / .A337 2021

Dewey Class. No.: 515.352

Lyapunov inequalities and applications
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245 1 0 $a Lyapunov inequalities and applications $h [electronic resource] / $c by Ravi P. Agarwal, Martin Bohner, Abdullah Ozbekler.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 607 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- Lyapunov-Type Inequalities for Second-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Half-Linear Differential Equations -- Lyapunov-Type Inequalities for Nonlinear Differential Systems -- Lyapunov-Type Inequalities for Fractional Differential Equations -- Lyapunov-Type Inequalities for Partial Differential Equations -- Lyapunov-Type Inequalities for Difference Equations -- Lyapunov-Type Inequalities for Dynamic Equations on Time Scales -- References -- Index.
520 $a 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.
650 0 $a Lyapunov functions. $3 596346
650 1 4 $a Analysis. $3 891106
650 2 4 $a Difference and Functional Equations. $3 897290
700 1 $a Bohner, Martin. $3 2165639
700 1 $a Ozbekler, Abdullah. $3 3494736
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-69029-8
950 $a Mathematics and Statistics (SpringerNature-11649)