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Bounded Solutions of Nonlinear Ordinary Differential Equations

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Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 371))

Abstract

A classical result states that if A is a n × n real matrix and T > 0, then the system

has a T-periodic solution for each T-periodic continuous forcing term p if and only if no eigenvalue of A has the form ikw with k ∈ ℤ and ω = 2π/T. The homogeneous part of equation (1) is then said to be non-resonant.

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Author information

Authors and Affiliations

  1. Catholic University of Louvain, Louvain-la-Neuve, Belgium

    J. Mawhin

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  1. J. Mawhin
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Editor information

Editors and Affiliations

  1. University of Udine, Italy

    F. Zanolin

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© 1996 Springer-Verlag Wien

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Mawhin, J. (1996). Bounded Solutions of Nonlinear Ordinary Differential Equations. In: Zanolin, F. (eds) Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. International Centre for Mechanical Sciences, vol 371. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2680-6_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2680-6_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82811-3

  • Online ISBN: 978-3-7091-2680-6

  • eBook Packages: Springer Book Archive

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