Periodic-solutions of Nonlinear Differential-equations With Double-resonance

Fabry, Christian;Fonda, A.
(1990) Annali di Matematica Pura ed Applicata — Vol. 157, p. 99-116 (1990)

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Authors
  • Fabry, ChristianUCLouvain
    Author
  • Fonda, A.
    Author
Abstract
We prove the existence of periodic solutions of a second order nonlinear ordinary differential equation whose nonlinearity is at resonance with two successive eigenvalues of the associated linear operator and satisfies some Landesman-Lazer type conditions at both of them.
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Citations

Fabry, C., & Fonda, A. (1990). Periodic-solutions of Nonlinear Differential-equations With Double-resonance. Annali di Matematica Pura ed Applicata, 157, 99-116. https://doi.org/10.1007/BF01765314 (Original work published 1990)