Stability of the origin of scalar comparison equations, I
Received: 26 November 1998
Mathematics Subject Classification: 34D20 - 34A40
Abstract: Stability criteria of the origin u = 0 of the scalar differential equation ú=a(t)f(u) are provided. The present paper is one of a series on the stability of scalar comparison equation. The above mentioned equation is the most usual comparison equation that we obtain by applying the comparison method to Liapunov's direct method. Many applications to the stability of the origin of Lagrange equations of holonomic mechanical systems will be provided in next papers.