Ilyashenko Yu., Yakovenko S. Lectures on Analytic Differential Equations

Differential equations brought into existence such areas of mathematics as topology and Lie groups theory. In turn, the analytic theory of differential equations is not a closed area, but rather provides a source of applications and motivation for other disciplines. In this book we stress using complex analysis, algebraic geometry and topology of vector bundles, with some other interesting links briefly outlined at the appropriate places.