Geodesic
Center conditions at infinity for Abel differential equations
Miriam Briskin1 ; Nina Roytvarf2 ; Yosef Yomdin3
1Jerusalem College of Engineering, Ramat Bet Hakerem, PO Box 3566, Jerusalem 91035, Israel
2Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel
3Department of Mathematics<br/>The Weizmann Institute of Science<br/>Rehovot 76100<br/>Israel
Annals of mathematics, Tome 172 (2010) no. 1, pp. 437-483
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An Abel differential equation $y’=p(x)y^2 + q(x) y^3$ is said to have a center at a set $A=\{a_1,\dots,a_r\}$ of complex numbers if $y(a_1)=y(a_2)=\dots=y(a_r)$ for any solution $y(x)$ (with the initial value $y(a_1)$ small enough).

DOI : 10.4007/annals.2010.172.437

Miriam Briskin  1   ; Nina Roytvarf  2   ; Yosef Yomdin  3

1 Jerusalem College of Engineering, Ramat Bet Hakerem, PO Box 3566, Jerusalem 91035, Israel
2 Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel
3 Department of Mathematics<br/>The Weizmann Institute of Science<br/>Rehovot 76100<br/>Israel 
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Miriam Briskin; Nina Roytvarf; Yosef Yomdin. Center conditions at infinity for Abel differential equations. Annals of mathematics, Tome 172 (2010) no. 1, pp. 437-483. doi: 10.4007/annals.2010.172.437

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