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非李普希兹条件下半线性发展方程的概自守与加权伪概自守解
引用本文:张荣娟,宋晓秋,刘春景.非李普希兹条件下半线性发展方程的概自守与加权伪概自守解[J].贵州大学学报(自然科学版),2011,28(1):5-8.
作者姓名:张荣娟  宋晓秋  刘春景
作者单位:中国矿业大学理学院,江苏徐州,221116
基金项目:中央高校基本科研业务费专项资金
摘    要:在巴拿赫空间中利用算子半群理论和巴拿赫压缩原理讨论了在非李普希兹条件下,半线性发展方程的概自守以及其加权伪概自守解的存在性和唯一性.

关 键 词:半线性  概自守  加权伪概自守  巴拿赫

Almost Automorphic and Weighted Pseudo Almost Automorphic Solutions of Semilinear Evolution Equations without Lipschitz Condition
ZHANG Rong-juan,SONG Xiao-qiu,LIU Chun-jing.Almost Automorphic and Weighted Pseudo Almost Automorphic Solutions of Semilinear Evolution Equations without Lipschitz Condition[J].Journal of Guizhou University(Natural Science),2011,28(1):5-8.
Authors:ZHANG Rong-juan  SONG Xiao-qiu  LIU Chun-jing
Institution:(Department of Mathematics,China University of Mining and Technology,Xuzhou 221116,China)
Abstract:In this paper,applying the theory of semigroups of operators and Banach fixed point theorem,we prove the existence and uniqueness of almost automorphic solutions and weighed pseudo almost automorphic solutions to Semilinear Evolution Equations without Lipschitz Condition.
Keywords:almost automorphic  weighted pseudo almost automorphic  Semilinear  Banach
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