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Mathematical Background

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A Variational Approach to Nonsmooth Dynamics

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

The main purpose of this chapter is to provide the reader with the knowledge of some basic concepts in convex analysis, nonsmooth analysis and Lyapunov stability theory. Useful mathematical results throughout the book are discussed (without proofs) and illustrated with figures.

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Notes

  1. 1.

    We suppose in (i) that there is a point at which both the functions have a finite value.

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Correspondence to Samir Adly .

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Adly, S. (2017). Mathematical Background. In: A Variational Approach to Nonsmooth Dynamics. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-68658-5_1

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