Abstract
In this work, we determined a general solution without looking for the particular integrals for the Riccati’s equation in which the coefficients a(x), b(x) and c(x) are analytic functions on the semi-axis [0, +?) and where a(x) does not have real zeros. We did this, first, by transforming the equation into its canonical form and then by applying the iteration sequence method. At the end we determined some conditions which are sufficient in order to obtain oscillating solution.
Cuvinte cheie
differential equation
oscillation theory
Riccati’s equation