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《Journal of Yangzhou University(Natural Science Edition)》 2009-01
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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.
【Fund】: 国家自然科学基金资助项目(10571150)
【CateGory Index】: O175.15
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【References】
Chinese Journal Full-text Database 1 Hits
1 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);Existence of solutions for neutral functional differential equation of second-order[J];Journal of Yangzhou University(Natural Science Edition);2010-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Jin*,LIAN Ting-ting,LI Gang(Coll of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Integrodifferential equations with nonlocal conditions in Banach spaces[J];Journal of Yangzhou University(Natural Science Edition);2007-04
2 LIAN Ting-ting,ZHANG Jin,LI Gang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Multivalued integrodifferential inclusions in Banach spaces[J];Journal of Yangzhou University(Natural Science Edition);2008-01
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 DONG Qi-xiang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Doubly perturbed evolution equations with infinite dely in Banach spaces[J];Journal of Yangzhou University(Natural Science Edition);2008-04
2 CHEN Li-zhen,LI Gang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Existence of positive solutions for fourth-order nonlinear differential systems[J];Journal of Yangzhou University(Natural Science Edition);2008-04
3 ZHANG Qing-hua,LI Gang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Boundary value problems for second order differential inclusions in Hilbert spaces[J];Journal of Yangzhou University(Natural Science Edition);2009-02
4 JI Shao-chun1,2*,LI Gang2(1.Fac of Math & Phys,Huaiyin Inst of Tech,Huaian 223003,China;2.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Existence of mild solutions for impulsive differential equations with nonlocal conditions[J];Journal of Yangzhou University(Natural Science Edition);2010-01
5 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);Neutral Differential Equations with Infinite Delay in Banach Spaces[J];Journal of Yunnan University of Nationalities(Natural Sciences Edition);2010-05
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 DONG Qi-xiang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Doubly perturbed evolution equations with infinite dely in Banach spaces[J];Journal of Yangzhou University(Natural Science Edition);2008-04
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 DENG Hai-rong1*,MA Zhao-feng2 (1.Dept of Math & Phys,Huaihai Inst of Tech,Lianyungang 222005,China;2.Dept of Math & Inf Engin,Zhejiang Voc & Tech Inst of Transp,Hangzhou 311112,China);A note of the existence and uniqueness of solution of differential equations in Banach space[J];Journal of Yangzhou University(Natural Science Edition);2007-01
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