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1、中立型延遲積分微分方程一直是數(shù)學(xué)家們研究的重要課題,它廣泛的應(yīng)用于生態(tài)學(xué)、物理學(xué)、非線性動(dòng)力系統(tǒng)等各個(gè)領(lǐng)域。因此,中立型延遲積分微分方程解析解和數(shù)值解的穩(wěn)定性有著重要的研究?jī)r(jià)值。
本文主要研究如下形式的延遲積分微分方程:
我們將分別基于非中立型延遲積分微分方程Pouz et型線性多步法及中立型延遲積分微分方程線性方法的分析思路,對(duì)中立型延遲積分微分方程Pouz et型線性多步θ法及復(fù)合求積型線性多步法的穩(wěn)定性
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