By Anton Savin,Boris Sternin

This ebook discusses the complicated conception of differential equations or extra accurately, the speculation of differential equations on complex-analytic manifolds.

even if the idea of differential equations on actual manifolds is widely known – it truly is defined in hundreds of thousands of papers and its usefulness calls for no reviews or factors – thus far experts on differential equations haven't occupied with the advanced idea of partial differential equations. although, in addition to being remarkably appealing, this conception can be utilized to resolve a few difficulties in genuine idea, for example, the Poincaré balayage challenge and the mummy physique challenge in geophysics.

The monograph doesn't require readers to be acquainted with complex notions in advanced research, differential equations, or topology. With its quite a few examples and workouts, it appeals to complex undergraduate and graduate scholars, and in addition to researchers eager to familiarize themselves with the subject.

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