湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
Journal of Natural Science of Hunan Normal University
2015年
5期
84-90
,共7页
雷国梁%岳田%宋晓秋
雷國樑%嶽田%宋曉鞦
뢰국량%악전%송효추
权伪概自守%抽象泛函微分方程%指数稳定%存在唯一性
權偽概自守%抽象汎函微分方程%指數穩定%存在唯一性
권위개자수%추상범함미분방정%지수은정%존재유일성
weighted pseudo almost automorphic%abstract functional differential equation%expo-nentially stable%existence and uniqueness
利用算子半群理论和Banach不动点定理研究了一类抽象泛函微分方程权伪概自守温和解的存在唯一性，所得结论拓展了已有结果。
利用算子半群理論和Banach不動點定理研究瞭一類抽象汎函微分方程權偽概自守溫和解的存在唯一性，所得結論拓展瞭已有結果。
이용산자반군이론화Banach불동점정리연구료일류추상범함미분방정권위개자수온화해적존재유일성，소득결론탁전료이유결과。
In this paper, by using the theory of semigroups of operators and Banach fixed point the-orem, the existence and uniqueness of weighted pseudo almost automorphic mild solutions to a class of abstract functional differential equation in Banach space are obtained under some suitable hypotheses, which extend some known results.
