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Titlebook: Lyapunov Inequalities and Applications; Ravi P. Agarwal,Martin Bohner,Abdullah ?zbekler Book 2021 The Editor(s) (if applicable) and The Au

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發(fā)表于 2025-3-21 19:54:50 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Lyapunov Inequalities and Applications
編輯Ravi P. Agarwal,Martin Bohner,Abdullah ?zbekler
視頻videohttp://file.papertrans.cn/590/589174/589174.mp4
概述Provides a comprehensive, neatly organized survey on Lyapunov-type inequalities.Covers applications of Lyapunov-type inequalities in boundary value problems, systems of differential equations, PDEs, d
圖書(shū)封面Titlebook: Lyapunov Inequalities and Applications; Ravi P. Agarwal,Martin Bohner,Abdullah ?zbekler Book 2021 The Editor(s) (if applicable) and The Au
描述.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 back
出版日期Book 2021
關(guān)鍵詞analysis; Lyapunov; PDE; Lyapunov inequalities; boundary conditions; difference equations; differential eq
版次1
doihttps://doi.org/10.1007/978-3-030-69029-8
isbn_ebook978-3-030-69029-8
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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onlinear dynamics. The tools needed to study chaotic phenomena are entirely different from those used to study periodic or quasi-periodic systems; these tools a978-1-4612-7386-8978-1-4612-2024-4Series ISSN 2297-0371 Series E-ISSN 2297-0398
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Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations,In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for higher-order linear differential equations and sketch some recent developments related to this type of inequalities.
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Lyapunov-Type Inequalities for Half-Linear Differential Equations,In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for second-order, third-order, and higher-order half-linear differential equations and sketch some recent developments related to this type of inequalities.
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發(fā)表于 2025-3-23 00:16:27 | 只看該作者
Lyapunov-Type Inequalities for Nonlinear Differential Systems,In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for second-order nonlinear systems of differential equations under some boundary conditions. We also sketch some recent developments related to this type of inequalities.
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發(fā)表于 2025-3-23 02:26:45 | 只看該作者
Lyapunov-Type Inequalities for Fractional Differential Equations,In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for fractional differential equations, and we sketch some recent developments related to this type of inequalities.
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