28563.時(shí)標(biāo)上具有參數(shù)依賴的廣義指數(shù)型二分性粗糙度理論

1、另毋聲t乎碩士研究生學(xué)位論文時(shí)標(biāo)上具有參數(shù)依賴的廣義指數(shù)型二分性粗糙度理論申請(qǐng)人：宋雅君學(xué)號(hào)：2111088培養(yǎng)單位：數(shù)學(xué)科學(xué)學(xué)院學(xué)科專業(yè)：應(yīng)用數(shù)學(xué)研究方向：微分方程數(shù)值方法指導(dǎo)教師：張繼民副教授完成日期：2014年3月24日～～～熄峨阻粥u密黑龍江大學(xué)碩士學(xué)位論文AbstractDynamicequationsontimescalesisanewresearchfieldAdynamicequationonatimescaleisno

2、tonlyrelatedtodifferentialequationsordifferenceequationsbutthosepertainingtoequationsonmoregeneraltimescalesTheTheoryofexponentialdichotomydescribescharacteristicsoflinearnonautonomousequationsandplayallimportantroleinth

3、estudyofqualitativeandstabilitytheoryfornonautonomousequationsThepaperfocusesonanewnotioncalledthegeneralexponentialdichotomyontimescales，whichismoregeneralandcontainsasspecialCasesmostversionsofunformandnonuniformdichot

4、omiesonthedifferentialequationsanddifferenceequationsWeestablishtheexistenceofparameterdependenceofroughnessforthegeneralexponentialdichotomyontimescalesunderthesufficientlysmalllinearperturbationMoreover，wealsoshowthatt

5、hestableandunstablesubspacesofgeneralexponentialdichotomiesfortheperturbedequationsareLipschitzcontinuousfortheparametersKeywords：Dynamicequationsontimescales；Generalizedexponentialdichotomy；Roughness；Lipschitzcontinuous