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.
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