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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Lyapunov-Type Inequalities for Difference Equations,In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for difference equations, discrete systems, and partial difference systems. We sketch some recent developments related to this type of inequalities.

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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https://doi.org/10.1007/978-3-030-69029-8analysis; Lyapunov; PDE; Lyapunov inequalities; boundary conditions; difference equations; differential eq

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Book 2021nd 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.

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tions can exhibit strange behavior, Poincare undermined the founda- tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inheren

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