Resumen de Minimal solution of a Riccati type differential equation

Gabriella Bognar, Ondrej Dosly

• We consider a Riccati type differential equation which appears in the oscillation theory of half-linear differential equations. We establish the existence of the so-called minimal solution of this equation and we investigate basic properties of this solution.

  In particular, we prove a Sturmian type theorem for minimal solutions of a pair of considered equations.