  We use some properties of solutions of Riccati equation for establishing
boundedness and stability criteria for solutions of second order linear
ordinary differential equations. We show that the conditions on coefficients of
the equations, appearing in the proven criteria, do not follow from the
conditions, which ensure the application of the WKB approximation to the second
order linear equations. On these examples we compare the obtained results wit
the results obtained by the Liapunov and Bogdanov methods, by a method
involving estimates of solutions in the Lozinski's logarithmic norms, and by
the freezing method. We compare these results with the Wazevski's theorem as
well.
