黑龙江科技大学学报2018，Vol.28Issue(1)：120-123,4.DOI:10.3969/j.issn.2095-7262.2018.01.023
非李普希兹条件下一类发展方程的紧概自守解
Compact almost automorphic solutions to some evolution equations under non-Lipschitz conditions
卢丑丽1
作者信息
- 1. 山西农业大学信息学院,山西晋中030800
- 折叠
摘要
Abstract
This paper building on the insight that the problem of the existence of various solutions re-presents an important direction and almost automorphic functions have a wide application in equations is motivated by the need for to investigate the application of compact almost automorphic functions in some evolution equations.The investigation involves applying the theory of semigroups of operators to evolution family and fixed point theorem, under non-Lipschitz conditions and thereby identifying the existence and uniquencess theorem of compact almost automorphic solutions to the equation in Banach space.The re-sults point to the existence and uniqueness theorem of compact almost automorphic mild solutions of the development equation under non-Lipschitz condition.关键词
紧概自守函数/非李普希兹条件/稳定点定理Key words
compact almost automorphic function/non-Lipschitz/Banach fixed theorem分类
数理科学引用本文复制引用
卢丑丽..非李普希兹条件下一类发展方程的紧概自守解[J].黑龙江科技大学学报,2018,28(1):120-123,4.
