Abstract
In this paper we consider the existence of nonoscillatory solutions for a system of higher-order neutral differential equations with distributed coefficients and delays. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions.
Highlights
1 Introduction and preliminary In this paper, we consider the system of higher-order neutral differential equations with distributed coefficients and delays b (n) r(t)x(t) + p(t, θ )x(t – θ ) dθ a d f
Liu et al Advances in Difference Equations (2017) 2017:41 was investigated by Zhang et al [ ]
Author details 1College of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, P.R. China
Summary
1 Introduction and preliminary In this paper, we consider the system of higher-order neutral differential equations with distributed coefficients and delays b (n) r(t)x(t) + p(t, θ )x(t – θ ) dθ a d f There have been a lot of activities concerning the existence of nonoscillatory solutions for neutral differential equations with positive and negative coefficients. In , the existence of nonoscillatory solutions of the first-order linear neutral delay differential equations d dt x(t) + P(t)x(t – τ ) + Q (t)x(t – σ ) – Q (t)x(t – σ ) =
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