Generalized emden-fowler-neutral type equations with properties A and B

Abstract

In this paper, a class of n-th order functional differential equations is considered for which the generalized Emden-Fowler-neutral type equation (E) (vM + P(t)y(t - r))+ q(t)\y{t - a)agn y(t - a) = 0 can be considered as a nonlinear model, where n > 2, q 6 Ljoc(R+,R)i p 6 Lioc(R+iR), and roved that the oscillation properties of (E) substantially depend on the rate at which the function /i+ - /j.(f) tends to zero as t - oo, where H+ = limt-,oo MW- New sufficient conditions for (E) to have Properties A and B are established. AMS (MOS) Subject Classification. 34C10, 34C15. © Dynamic Publishers, Inc.