Lyapunov Inequalities and Applications
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.
Recommended Citation
R. P. Agarwal et al., "Lyapunov Inequalities and Applications," Lyapunov Inequalities and Applications, pp. 1 - 607, Springer, Apr 2021.
The definitive version is available at https://doi.org/10.1007/978-3-030-69029-8
Department(s)
Mathematics and Statistics
Keywords and Phrases
Analysis; Boundary conditions; Boundary value problems; Difference equations; Differential equations; Dynamic equations; Fractional differential equations; Hamiltonian systems; Lyapunov; Lyapunov inequalities; Partial Differential Equations; PDE; Sturm-Liouville; Time scale
International Standard Book Number (ISBN)
978-303069029-8;978-303069028-1
Document Type
Book
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Springer, All rights reserved.
Publication Date
12 Apr 2021