On Property (b) of Higher Order Delay Differential Equations
نویسندگان
چکیده
In this paper we offer criteria for property (B) and additional asymptotic behavior of solutions of the n-th order delay differential equations ( r(t) [ x(n−1)(t) ]γ)′ = q(t)f ( x(τ(t)) ) . Obtained results essentially use new comparison theorems, that permit to reduce the problem of the oscillation of the n-th order equation to the the oscillation of a set of certain the first order equations. So that established comparison principles essentially simplify the examination of studied equations. Both cases ∫∞ r−1/γ(t) dt =∞ and ∫∞ r−1/γ(t) dt <∞ are discussed.
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