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Lyapunov inequalities and applications

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, c...

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Detalles Bibliográficos
Autores principales: Agarwal, Ravi P, Bohner, Martin, Özbekler, Abdullah
Lenguaje:eng
Publicado: Springer 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-69029-8
http://cds.cern.ch/record/2763367
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author Agarwal, Ravi P
Bohner, Martin
Özbekler, Abdullah
author_facet Agarwal, Ravi P
Bohner, Martin
Özbekler, Abdullah
author_sort Agarwal, Ravi P
collection CERN
description 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.
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spelling cern-27633672021-04-21T16:38:34Zdoi:10.1007/978-3-030-69029-8http://cds.cern.ch/record/2763367engAgarwal, Ravi PBohner, MartinÖzbekler, AbdullahLyapunov inequalities and applicationsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27633672021
spellingShingle Mathematical Physics and Mathematics
Agarwal, Ravi P
Bohner, Martin
Özbekler, Abdullah
Lyapunov inequalities and applications
title Lyapunov inequalities and applications
title_full Lyapunov inequalities and applications
title_fullStr Lyapunov inequalities and applications
title_full_unstemmed Lyapunov inequalities and applications
title_short Lyapunov inequalities and applications
title_sort lyapunov inequalities and applications
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-69029-8
http://cds.cern.ch/record/2763367
work_keys_str_mv AT agarwalravip lyapunovinequalitiesandapplications
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