Introduction to Complex Theory of Differential Equations

Boris Sternin is a full professor at the Department of Applied Mathematics at the RUDN University in Moscow. He received his PhD in 1965 from Moscow State University and his Doctor of Physico-Mathematical Sciences in 1984. His main area is partial differential equations, in particular, Global asymptotic methods and Noncommutative theory of elliptic operators. Prof. Sternin has published over 300 scientific articles and 17 books since 1964. Anton Savin is an associate professor at the Department of Applied Mathematics at the RUDN University in Moscow. He received his PhD in 2000 from Moscow State University and his Doctor of physico-mathematical sciences in 2012. Dr. Savin has published over 70 scientific articles and two books since 1997.

• Leray residues.- Ramied integrals.- Asymptotics of ramied integrals.- Ramied Fourier transform.- Properties of ramied Fourier transform.- The Cauchy problem for equations with constant coefficients.- Singularities of the solution of Cauchy problem.- The Cauchy problem for equations with variable coefficients. Leray's uniformization.- Balayage inwards problem.- Mother body problem.- Hints for exercises.