【摘 要】
：
Consider the following neutral delay-differential equations with multiple delays (NMDDE)my’(t) ＝ Ly(t) + ∑[Mjy(t - τj) + Njy’(t - τj)], t ≥ 0, (0.1)j＝1where
【机 构】
：
Department of Mathematics, Lanzhou University, Lanzhou 730000, China
论文部分内容阅读
Consider the following neutral delay-differential equations with multiple delays (NMDDE)my’(t) ＝ Ly(t) + ∑[Mjy(t - τj) + Njy’(t - τj)], t ≥ 0, (0.1)j＝1where τ＞ 0, L, Mj and Nj are constant complex-value d×d matrices. A sufficient conditionfor the asymptotic stability of NMDDE system (0.1) is given. The stability of Butcher’s(A,B,C)-method for systems of NMDDE are studied. In addition, we present a paralleldiagonally-implicit iteration RK (PDIRK) methods(NPDIRK) for systems of NMDDE,which is easier to be implemented than fully implicit RK methods. We also investigatethe stability of a special class of NPDIRK methods by analyzing their stability behaviorsof the solutions of (0.1).
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