Nonresonance conditions on the potential with respect to the Fucik spectrum for the periodic boundary value problem

Habets, Patrick;Omari, P;Zanolin, F.
(1995) Rocky Mountain Journal of Mathematics — Vol. 25, n° 4, p. 1305-1340 (1995)

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  • Habets, PatrickUCLouvain
    Author
  • Omari, P
    Author
  • Zanolin, F.
    Author
Abstract
The existence of periodic solutions to a class of second order nonlinear ordinary differential equations is established under some rather mild restrictions on the behavior of the primitive of the nonlinearity with respect to the Fucik spectrum of the periodic problem.
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Habets, P., Omari, P., & Zanolin, F. (1995). Nonresonance conditions on the potential with respect to the Fucik spectrum for the periodic boundary value problem. Rocky Mountain Journal of Mathematics, 25(4), 1305-1340. https://doi.org/10.1216/rmjm/1181072148 (Original work published 1995)