On oscillation of solutions of forced nonlinear neutral differential equations of higher order II

N. Parhi, R. N. Rath
2003 Annales Polonici Mathematici  
Sufficient conditions are obtained so that every solution of , τ > 0 and σ ≥ 0, oscillates or tends to zero as t → ∞. Various ranges of p(t) are considered. In order to accommodate sublinear cases, it is assumed that Through examples it is shown that if the condition on Q is weakened, then there are sublinear equations whose solutions tend to ±∞ as t → ∞. The technique employed in this paper is motivated by Lemma 2.1 (see Section 2). The results hold true for homogeneous equations associated
more » ... tions associated with (1). By a solution of (1) we mean a real-valued continuous function y on [T y − , ∞) for some T y ≥ 0, where = max{τ, σ}, such that y(t)−p(t)y(t−τ ) 2000 Mathematics Subject Classification: 34C10, 34C15, 34K40.
doi:10.4064/ap81-2-1 fatcat:lzvntezv5fgmziisfsbk6gneje