Oscillation Theorems for Non-Canonical Self-Adjoint Differential Equations of Second Order

Abstract

The report deals with the equation \( (r(t)u^'(t))' + p(t)u(t) = 0 \) and renders effective sufficient conditions for its oscillation and non-oscillation in the case ${\int }^{\infty }\frac{dt}{r(t)}<\infty$.