new oscillation results for a nonlinear generalization of euler differential equation

‎‎‎‎in the present work the oscillatory behavior of the solutions of a nonlinear generalization of euler equation will be considered in which the‎ ‎nonlinearities satisfy the smoothness conditions which guarantee‎ ‎the uniqueness of solutions of initial value problems‎. ‎however‎, ‎no‎ ‎conditions of sub(super)linearity are assumed‎. ‎some new‎ ‎sufficient conditions are established ensuring oscillation of all‎ ‎solutions of this equation‎. ‎examples are also provided to illustrate‎ ‎the relevance of the main results‎.