In the context of scalar second order ODEs at resonance,we construct a counterexample showing that, in general, the Ahmad-Lazer-Paul condition does not imply a priori bounds for T-periodic solutions.

A counterexample to a priori bounds under the Ahmad-Lazer-Paul condition

MAURIZIO GARRIONE
2019-01-01

Abstract

In the context of scalar second order ODEs at resonance,we construct a counterexample showing that, in general, the Ahmad-Lazer-Paul condition does not imply a priori bounds for T-periodic solutions.
2019
Ahmad-Lazer-Paul condition, Landesman-Lazer condition, a priori bounds,T-periodic solutions, resonance
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1118595
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