A note on a nonresonance condition at zero for first-order planar systems

We introduce a Landesman-Lazer type nonresonance condition at zero for planar systems and discuss its rotational interpretation. We then show an application concerning multiplicity of T-periodic solutions to unforced Hamiltonian systems like $$ Ju'=\nabla H(t, u), \quad \nabla H(t, 0) \equ...

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Bibliographic Details
Main Author: Maurizio Garrione
Format: Article
Language:English
Published: Texas State University 2015-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/21/abstr.html