nth Order Neutral Differential Equations with Properties Aw and Bw
Keyword(s):
Abstract A neutral differential equation of the form (x(t) + μ(t)x(ρ(t)))(n) + f(t, x(τ 1(t)), . . . , x(τm (t))) = 0 is considered, where μ, ρ, τi : R + → R (i = 1, . . . , m) are continuous functions, 0 ≤ μ(t) ≤ 1, ρ(t) ≤ t for t ∈ R +, and the function f : R + × Rm → R satisfies the local Carathéodory conditions. Sufficient conditions are given for the considered equation to have the so-called "weak" properties A and B.
1992 ◽
Vol 15
(3)
◽
pp. 509-515
◽
2013 ◽
Vol 44
(1)
◽
pp. 99-112
◽
2016 ◽
Vol 2016
◽
pp. 1-8
◽
1992 ◽
Vol 46
(1)
◽
pp. 149-157
◽
1991 ◽
Vol 43
(1)
◽
pp. 147-152
◽
1989 ◽
Vol 39
(1)
◽
pp. 71-80
◽
2019 ◽
Vol 11
(1)
◽