Forced oscillation of nth-order nonlinear differential equations

摘要

The oscillation criteria result of Agarwal and Grace [Appl. Math. Lett. 13 (2000) 53] is generalized to the following nonlinear equations of the formx(n)(t)+∑i=1n−1aix(i)(t)−q(t)f(x(t))=e(t),n∈N,where f∈C1(R,R) and f is a strictly monotone increasing function, e∈C(R+,R). a1,…,an−1 are real constants.