ABSTRACT
For second order delay differential equations, sufficient conditions are established for oscillation of solutions. In particular, an integral-type criterion is obtained for oscillation of solutions that is a generalization of the Hille-type integral condition even in the case of ordinary differential equations. In addition, the problem on existence and uniqueness of a singular boundary value problem is studied for a homogeneous differential equation with deviated arguments. Sufficient conditions are also provided for the solution of given boundary value problem to be oscillatory.
