Bounded Solutions of Nonlinear Ordinary Differential Equations

  • J. Mawhin
Part of the International Centre for Mechanical Sciences book series (CISM, volume 371)


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.


Imaginary Axis Order Differential Equation Bounded Solution Order Ordinary Differential Equation Nonlinear Perturbation 
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Copyright information

© Springer-Verlag Wien 1996

Authors and Affiliations

  • J. Mawhin
    • 1
  1. 1.Catholic University of LouvainLouvain-la-NeuveBelgium

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