International Journal of Differential Equations (Jan 2013)
Oscillations of a Class of Forced Second-Order Differential Equations with Possible Discontinuous Coefficients
Abstract
We study the oscillation of all solutions of a general class of forced second-order differential equations, where their second derivative is not necessarily a continuous function and the coefficients of the main equation may be discontinuous. Our main results are not included in the previously published known oscillation criteria of interval type. Many examples and consequences are presented illustrating the main results.