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math.CA2022★ 2 cited
An antimaximum principle for periodic solutions of a forced oscillator
Alain Albouy, Antonio J. Ureña
Consider the equation of the linear oscillator , where the forcing term is -periodic and positive. We show that the existence of a periodic…
math-ph2022★ 5 cited
Darboux inversions of the Kepler problem
Alain Albouy, Lei Zhao
While extending a famous problem asked and solved by Bertrand in 1873, Darboux found in 1877 a family of abstract surfaces of revolution, each endowed with a force function, with t…