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《Journal of Yunnan University of Nationalities(Natural Sciences Edition)》 2010-05
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Neutral Differential Equations with Infinite Delay in Banach Spaces

ZHANG Xue-mao1,DONG Qi-xiang2,LI Gang2(1.Department of Mathematics and Physics,Taizhou Normal College,Taizhou 225300,China;2.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)  
This paper studies neutral differential equations with infinite delay in Banach 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.
【Fund】: 国家自然科学基金(10571150)
【CateGory Index】: O175.15
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