We survey some classical and recent results about the Ambrosetti-Prodi problem for the scalar first order periodic ordinary differential equation $x'=f(t,x)$. This problem plays a role in describing the evolution of single species populations subject to periodic fluctuations and periodic harvesting, as well as in studying some special cases of Hilbert sixteenth problem.
On the Ambrosetti-Prodi problem for first order scalar periodic ODEs
OBERSNEL, Franco;OMARI, PIERPAOLO
2005-01-01
Abstract
We survey some classical and recent results about the Ambrosetti-Prodi problem for the scalar first order periodic ordinary differential equation $x'=f(t,x)$. This problem plays a role in describing the evolution of single species populations subject to periodic fluctuations and periodic harvesting, as well as in studying some special cases of Hilbert sixteenth problem.File in questo prodotto:
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