@misc{10481/77053, year = {2022}, month = {1}, url = {https://hdl.handle.net/10481/77053}, abstract = {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.}, organization = {Paris Observatory grant}, publisher = {World Scientific}, keywords = {Antimaximum principle}, keywords = {Forced linear oscillator}, keywords = {Positive solutions}, keywords = {Separation of convex sets}, title = {An antimaximum principle for periodic solutions of a forced oscillator}, author = {Albouy, Alain and Ureña Alcázar, Antonio Jesús}, }