Oscillation and nonoscillation theorems for second order sublinear ordinary differential equations

A nonoscillation theorem is given for the second order sublinear ordinary differential equation y "+a(x)f(y) = 0, x is an element of (0, infinity), where a(x) is positive and continuous and fly) is non-decreasing in y and satisfies yf(y) > 0 whenever y not equal 0. f(y) is also assumed to satisfy certain sublinear conditions which would include the special case f(y) = y\y\(gamma-1), 0 < gamma < 1. The main theorem extends and improves a well-known result of S. Belohorec.