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Existence of solutions to neutral differential equations with infinite delay

ZHANG Xue-mao1,2,DONG Qi-xiang1*,LI Gang1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Dept of Math,Taizhou Norm Coll,Taizhou 225300,China)  
The concept of mild solution is introduced for a class of neutral differential equations with infinite delay in Banach spaces.The existence of mild solutions to such equations is obtained by using the theory of semilinear group of linear operators,Hausdorff measure of noncompactness and fixed point theorem,without the compactness assumption on associated semigroups,which improves and generalizes some previous results.
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