An antimaximum principle for periodic solutions of a forced oscillator
Identificadores
URI: https://hdl.handle.net/10481/77053Metadatos
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World Scientific
Materia
Antimaximum principle Forced linear oscillator Positive solutions Separation of convex sets
Fecha
2022-01-23Referencia bibliográfica
Published version: Albouy, A. & Ureña, A. J. An antimaximum principle for periodic solutions of a forced oscillator. Communications in Contemporary Mathematics (2022) 2250041. [https://doi.org/10.1142/S0219199722500419]
Patrocinador
Paris Observatory grantResumen
Consider the equation of the linear oscillator u '' + u = h(theta), where the forcing term h : R -> R is 2 pi-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.