Viewing nonoscillatory second order linear differential equations from the angle of Riccati equations

Jaroslav Jaros, Takashi Kusano, Tomoyuki Tanigawa

We build an existence theory for nonoscillatory second order differential equations of the form (A) $(p(t)x^{\prime }{)}^{\prime }=q(t)x,$ $p(t)$ and $q(t)$ being positive continuous functions on $…