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Asymptotic Behavior of Solutions of Nonlinear Neutral Delay Differential Equations
並列摘要
This paper is concerned with the nonlinear neutral delay differential equation with positive and negative coefficients[x(t)-c(t)x(t-τ)]'+p(t)f(x(t-δ))-q(t)f(x(t-σ)) = 0, t ≥ t0, where τ ∈ (0,∞), δ and σ ∈ [0,∞), c(t) ∈ C([t0,∞),R), p(t) and q(t) ∈ C([t0,∞), [0,∞)), f ∈ C(R,R). Sufficient conditions are obtained under which every solution of the above equation is bounded and tends to a constant as t→∞. Our results extend and improve some known results.
並列關鍵字
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