Abstract:

In this paper authors obtain sufficient conditions under which every solution of theneutral differential equations with several delay arguments and positive-negative coefficients
[x(t)-Σ _k=1^lC_k(t)x(t-r_k)]+Σ_i=1^mP_i(t)x(t-τ_i)-Σ_j=1ⁿQ_j(t)x(t-σ_j)=0,t ≥ t₀,tends to a constant as t→∞.This paper extends the result of[5] to the case of several delayarguments.

Key words: Neutral differential equation, several delay arguments, asymptotic behavior