[PDF] Differential Equations with Small Parameters and Relaxation Oscillations E. F. Mishchenko, N. Kh. Rozov (auth.)

A large amount of work has been done on ordinary differential equations with small parameters multiplying derivatives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both slow-and fast-motion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points.