Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term

Abstract

A class of second-order nonlinear differential equations with damping term$(r(t){\left|x^{\prime }(t)\right|}^{\sigma -1}{x}^{\prime }(t){)}^{\prime }+p(t){\left|x^{\prime }(t)\right|}^{\sigma -1}{x}^{\prime }(t)+q(t)f(x(t))=0$are investigated in this paper. By using a new method, we obtain some new sufficient conditions forthe oscillation of the above equation, and some references are extended in this paper. Examples areinserted to illustrate this result.