Geodesic
Periodic solutions of polynomial non-autonomous differential equations
Electronic journal of differential equations, Tome 2005 (2005)
We present some results on the number of periodic solutions for scalar non-autonomous polynomial equations of degree five. We also consider a class of polynomial equations of any degree. Our results give upper bounds for the number of limit cycles of two-dimensional systems.
Classification : 34C25, 34C07, 34C05
Keywords: periodic solutions, polynomial non-autonomous equations, Abel differential equations, limit cycles, uniformly isochronous centers, Hilbert's sixteenth problem 
@article{EJDE_2005__2005__a231,
     author = {Alwash,  Mohamad A.M.},
     title = {Periodic solutions of polynomial non-autonomous differential equations},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34514},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a231/}
}
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Alwash,  Mohamad A.M. Periodic solutions of polynomial non-autonomous differential equations. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a231/