Abstract
In this chapter we briefly present some historical motivations which make the study of the so-called Lyapunov-type inequalities of great interest, both in pure and applied mathematics. In particular, three topics are highlighted: the stability properties of the Hill’s equation, the study of the sign of the eigenvalues of certain eigenvalue problems, and the analysis of nonlinear resonant problems. After, we describe the contents of the book.
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Cañada, A., Villegas, S. (2015). Introduction. In: A Variational Approach to Lyapunov Type Inequalities. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-25289-6_1
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DOI: https://doi.org/10.1007/978-3-319-25289-6_1
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