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1、中立型時(shí)滯微分方程廣泛地應(yīng)用于電路分析,多體力學(xué)系統(tǒng)的實(shí)時(shí)仿真,化學(xué)反應(yīng)模擬以及最優(yōu)控制等領(lǐng)域。由于中立型時(shí)滯微分方程的復(fù)雜性,很難得到理論解的解析表達(dá)形式,因此研究中立型時(shí)滯微分方程的數(shù)值解法顯得十分必要。 中立型時(shí)滯微分方程的數(shù)值求解一直是一個(gè)非?;钴S的研究領(lǐng)域,已有很多關(guān)于中立型時(shí)滯微分方程的數(shù)值處理的研究工作。雖然求解中立型時(shí)滯微分方程的數(shù)值方法的穩(wěn)定性已經(jīng)被深入的研究,但是與時(shí)滯相關(guān)的穩(wěn)定性研究較少。 本論文首
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