Perron Stability and Its Study at the First Approximation

详细

Natural concepts of Perron stability, asymptotic stability, and complete instability of the trivial solution to a differential system are introduced. Their features and relationships with Perron exponents and similar Lyapunov ones are indicated. An absolute and unique coincidence of research opportunities for Perron and Lyapunov stability and asymptotic stability at the first approximation is found.