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中立型二阶时滞微分方程适度解的存在性
  • 期刊名称：扬州大学学报(自然科学版)
  • 时间：0
  • 页码：-
  • 分类：O177.92[理学—数学;理学—基础数学]
  • 作者机构：[1]扬州大学数学科学学院,江苏扬州225002, [2]宿迁学院教师教育系,江苏宿迁223800
  • 相关基金：国家自然科学基金资助项目（10971182）; 江苏省高校自然科学基金资助项目（09KJB110010）; 宿迁市科技计划项目（Z2009004）
  • 相关项目：Banach空间上非线性算子半群与非线性微分包含及其应用
作者： 叶润萍|董琪翔|李刚|
关键词： 中立型泛函微分方程, 适度解, HAUSDORFF非紧测度, 相空间, neutral functional differential equations, mild solution, Hausdorff measure of noncom-pactness, phase space
中文摘要：

对Banach空间中一类中立型二阶无穷时滞微分方程引入适度解的定义,利用Hausdorff非紧测度理论和Darbo不动点定理,得到相关算子族在失去紧性的情况下Banach空间中该类型微分方程适度解的存在性.

英文摘要：

This work introduces the concept of mild solution for a class of neutral functional differential equations of second-order with infinite delay in Banach spaces,and shows the existence of mild solutions to the equations of second-order with infinite delay.The Hausdorff measure of non-compactness and Darbo fixed point theory are used,without the assumption of compactness on the associated family of operators.

同期刊论文项目
Banach空间上非线性算子半群与非线性微分包含及其应用
期刊论文 46
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