Lyapunov Inequalities and Applications

dc.authorscopusid 36013313700
dc.authorscopusid 7006400381
dc.authorscopusid 9434099700
dc.contributor.author Agarwal,R.P.
dc.contributor.author Bohner,M.
dc.contributor.author Özbekler,A.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:46:13Z
dc.date.available 2024-07-05T15:46:13Z
dc.date.issued 2021
dc.department Atılım University en_US
dc.department-temp Agarwal R.P., Department of Mathematics, Texas A and M University-Kingsville, Kingsville, TX, United States; Bohner M., Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, United States; Özbekler A., Department of Mathematics, Atilim University, Ankara, Turkey en_US
dc.description.abstract 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. © Springer Nature Switzerland AG 2021. All rights reserved. en_US
dc.identifier.citationcount 19
dc.identifier.doi 10.1007/978-3-030-69029-8
dc.identifier.endpage 607 en_US
dc.identifier.isbn 978-303069029-8
dc.identifier.isbn 978-303069028-1
dc.identifier.scopus 2-s2.0-85113940989
dc.identifier.startpage 1 en_US
dc.identifier.uri https://doi.org/10.1007/978-3-030-69029-8
dc.identifier.uri https://hdl.handle.net/20.500.14411/4032
dc.institutionauthor Özbekler, Abdullah
dc.language.iso en en_US
dc.publisher Springer International Publishing en_US
dc.relation.ispartof Lyapunov Inequalities and Applications en_US
dc.relation.publicationcategory Kitap - Uluslararası en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 24
dc.subject Analysis en_US
dc.subject Boundary conditions en_US
dc.subject Boundary value problems en_US
dc.subject Difference equations en_US
dc.subject Differential equations en_US
dc.subject Dynamic equations en_US
dc.subject Fractional differential equations en_US
dc.subject Hamiltonian systems en_US
dc.subject Lyapunov en_US
dc.subject Lyapunov inequalities en_US
dc.subject Partial Differential Equations en_US
dc.subject PDE en_US
dc.subject Sturm-Liouville en_US
dc.subject Time scale en_US
dc.title Lyapunov Inequalities and Applications en_US
dc.type Book en_US
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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