Note on forced oscillation of nth-order sublinear differential equations

In the case of oscillatory potentials, we establish an oscillation theorem for the forced sublinear differential equation , . No restriction is imposed on the forcing term to be the nth derivative of an oscillatory function. In particular, we show that all solutions of the equation , , are oscillatory for all if . This provides an analogue of a result of Nasr [Proc. Amer. Math. Soc. 126 (1998) 123] for the forced superlinear equation and answers a question raised in an earlier paper [J.S.W. Wong, SIAM J. Math. Anal. 19 (1988) 673]. [Copyright &y& Elsevier]