OSCILLATION CRITERION FOR SOME DIFFERENTIAL EQUATION OF SECOND ORDER WITH INTEGRABLE COEFICIENTS

Abstract

In this presented paper, we are concerned with the oscillatory behaviour of solutions of some nonlinear ordinary differential equations of second order. Primarily, we are interested in the study of equations with integrable coefficients. By using the Riccati substitution technique, many open problems are discussed and some new sufficient conditions for the oscillation are obtained. Some applications of the obtained results are also provided to show the feasibility of the new results.