Vladimir Arnold Ordninary Differential Equarions

One hundred and eleven musicians celebrating a large-scale symphony that sounds like Gustav Mahler, Richard Strauss, or Arnold Schoenberg. In fact, the composer of this symphony, Alfred Schnittke, had precisely these composers (and many others) in mind back in 1981. Whereas he initially mirrored certain styles from figures as Mahler, Mozart, Bach, Stravinsky, Prokofiev and Shostakovich, he was soon also borrowing concepts from trivial music, folklore, jazz, tango, as well as many other styles. He himself described his compositional technique, but an aesthetic programme: a serious effort to break through the vicious circle of the self-satisfied and self-sufficient avant-garde music.

This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries.