TY  - JOUR
ID  - Wilczyński2012
LB  - Wilczyński2012
AU  - Wilczyński, Paweł
TI  - Planar nonautonomous polynomial equations IV. Nonholomorphic case
ST  - Planar nonautonomous polynomial equations IV. Nonholomorphic case
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 2
SP  - 357
EP  - 375
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.2.357
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.2.357
AB  - We give a few sufficient conditions for the existence of periodic solutions of the equation \(\dot{z}=\sum_{j=0}^n a_j(t)z^j-\sum_{k=1}^r c_k(t)\overline{z}^k\) where \(n \gt r\) and \(a_j\)'s, \(c_k\)'s are complex valued. We prove the existence of one up to two periodic solutions.
KW  - periodic orbits
KW  - polynomial equations
SN  - 1232-9274
ER  -