Search
next up previous
Next: Kenneth Meyer - Integral Up: Algebraic Geometric Methods in Previous: Phil Holmes - Non-holonomic

Yulik Il'yashenko - Restricted versions of Hilbert 16th problem and related topics



YULIK IL'YASHENKO, Cornell University and oscow University
Restricted versions of Hilbert 16th problem and related topics


Survey of different versions of Hilbert 16th problem is presented. Some new simplifications are proposed. Number of limit cycles of Abel equation with bounded coefficients is estimated from above. Picard-Fuchs equation for Abelian integrals is written.