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Lyapunov Inequalities and their Applications

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Survey on Classical Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 517))

Abstract

For nearly 50 years Lyapunov inequalities have been an important tool in the study of differential equations. In this survey, building on an excellent 1991 historical survey by Cheng, we sketch some new developments in the theory of Lyapunov inequalities and present some recent disconjugacy results relating to second and higher order differential equations as well as Hamiltonian systems.

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama, Tuscaloosa, AL, 35487-0350, USA

    Richard C. Brown

  2. Department of Mathematics, University of Tennessee, Knoxville, TN, 37996, USA

    Don B. Hinton

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  1. Richard C. Brown
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  2. Don B. Hinton
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© 2000 Springer Science+Business Media Dordrecht

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Brown, R.C., Hinton, D.B. (2000). Lyapunov Inequalities and their Applications. In: Survey on Classical Inequalities. Mathematics and Its Applications, vol 517. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4339-4_1

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  • DOI: https://doi.org/10.1007/978-94-011-4339-4_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5868-1

  • Online ISBN: 978-94-011-4339-4

  • eBook Packages: Springer Book Archive

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