On nonoscillatory solutions of a class of nonlinear differential equations

Ján Mikunda; Jozef Rovder

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In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation ${(r (t) u^{'} (t))}^{'} + p (t) u (t) = 0$ are derived. One of them deals with the case $\int^{\infty} \frac{d t}{r (t)} = \infty$ , and the other with the case $\int^{\infty} \frac{d t}{r (t)} < \infty$ .