Article Dans Une Revue Communications in Contemporary Mathematics Année : 2022

An antimaximum principle for periodic solutions of a forced oscillator

Résumé

Consider the equation of the linear oscillator [Formula: see text], where the forcing term [Formula: see text] is [Formula: see text]-periodic and positive. We show that the existence of a periodic solution implies the existence of a positive solution. To this aim we establish connections between this problem and some separation questions of convex analysis.

Dates et versions

hal-03858296 , version 1 (17-11-2022)

Identifiants

Citer

Alain Albouy, Antonio Ureña. An antimaximum principle for periodic solutions of a forced oscillator. Communications in Contemporary Mathematics, 2022, 25 (09), pp.2250041. ⟨10.1142/S0219199722500419⟩. ⟨hal-03858296⟩
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