Abstract

For a special class of the external forceg(t) and nonnegative potentiala(t), we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Emden–Fowler type in the formx″(t)+a(t)|x(φ(t))|νsgnx(φ(t))=g(t) in the superlinear (ν>1) and the sublinear cases (ν<1).

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