Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces

Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
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DOI:
10.1016/j.jfranklin.2011.02.001
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发表时间:
2012-02
期刊:
J. Frankl. Inst.
影响因子:
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通讯作者:
A. Caicedo;C. Cuevas;G. Mophou;G. N’Guérékata
A. Caicedo;C. Cuevas;G. Mophou;G. N’Guérékata
中科院分区:
其他
文献类型:
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作者:
A. Caicedo;C. Cuevas;G. Mophou;G. N’Guérékata

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We prove in this paper the existence and uniqueness of mild solutions to some functional differential and functional integro-differential equations with infinite delay in Banach spaces which approach almost automorphic functions at infinity. We also discuss the existence of S-asymptotically ω-periodic mild solutions. The results are new.