Abstract
In the present paper, some new criteria for property A and the oscillation of third order nonlinear delay differential equations of the type � a(t) h b(t)y ' (t) � ' i�' + p(t)f (y(�(t))) = 0.
Highlights
We consider the nonlinear third-order delay differential equation a(t) b(t)y′(t) ′ γ+ p(t)f (y(τ (t))) = 0, t ≥ t0. (E)In the sequel, it is always assumed that (H0) γ is the ratio of odd positive integers,(H1) a, b, p ∈ C([t0, ∞), R+), R+ = (0, ∞), Received: February 10, 2016 Published: June 6, 2016 §Correspondence author c 2016 Academic Publications, Ltd. url: www.acadpubl.euJ
It is always assumed that (H0) γ is the ratio of odd positive integers, (H1) a, b, p ∈ C([t0, ∞), R+), R+ = (0, ∞), Received: February 10, 2016
We state here that all functional inequalities considered in this article are assumed to hold eventually, i.e., they are satisfied for all t large enough
Summary
Abstract: In the present paper, some new criteria for property A and the oscillation of third order nonlinear delay differential equations of the type a(t) b(t)y′(t) ′ γ AMS Subject Classification: 34C10, 34K11 Key Words: third-order functional differential equations, property A, oscillation, delay argument, integral criteria We consider the nonlinear third-order delay differential equation a(t) b(t)y′(t) ′ ≥ satisfies t0, which has the equation (E) on the property [Ty, ∞).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
