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基于Banach空间的中立型无穷时滞微分方程

Neutral Differential Equations with Infinite Delay in Banach Spaces
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摘要 利用Hausdorff非紧测度、分数幂算子和Darbo不动点理论,在半群失去紧性等较弱条件下,研究了基于Banach空间的一类中立型无穷时滞微分方程适度解的存在性,改进和推广了一些已知的结果. This paper studies neutral differential equations with infinite delay in Banaeh spaces. The existence of mild solutions to such equations is obtained by using the theory of Hausdorff measure of noncompactness, Fractional power operator and fixed point theorem, without the compactness assumption on associated semigroups, which can improve and generalize some previous results.
作者 张学茂 董琪翔 李刚
机构地区 泰州师范高等专科学校数理系 扬州大学数学科学学院
出处 《云南民族大学学报（自然科学版）》 CAS 2010年第5期337-340,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
基金 国家自然科学基金(10571150)
关键词 HAUSDORFF非紧测度 适度解 分数幂算子 中立型微分方程 时滞微分方程 Hausdorff measure of noncompactness mild solutions Fractional power operator neutral differential equations differential equation with delay
分类号 O175.15 [理学—基础数学]
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参考文献10

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共引文献10

云南民族大学学报（自然科学版）
2010年 第5期

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