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《Journal of Yangzhou University(Natural Science Edition)》 2010-04
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Existence of solutions for neutral functional differential equation of second-order

YE Run-ping1,2,DONG Qi-xiang1,LI Gang1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Educ Dept,Suqian Coll,Suqian 223800,China)  
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.
【Fund】: 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)
【CateGory Index】: O175
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