Banach空间中立型泛函微分方程的概周期温和解  

Almost periodic mild solutions to functional differential equations of neutral type in Banach space

作　　者：张留伟[1] 

机构地区：[1]中山大学中法核工程与技术学院,广东珠海519082

出　　处：《中山大学学报（自然科学版）》2016年第1期30-34,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(11271379)

摘　　要：借助于一般的谱分解技巧,利用线性算子半群理论研究了Banach空间X中立型泛函微分方程一致连续的有界温和解的存在性与唯一性,得到了当X没有与c0同构的子空间时方程概周期温和解存在与唯一的谱条件,推广了线性微分方程的现有结果。With the general spectral decomposition techniques and by means of the linear operator semigroups theory, the existence and uniqueness of uniformly continuous mild solutions to the functional differential equations of neutral type in Banach space X are studied. The spectrum conditions which imply the existence and uniqueness of almost periodic mild solutions to the equations are obtained when X has no subspace isomorphic to co . The results extend recent results of the linear differential equations.

关 键 词：概周期 Carleman谱 线性算子半群 中立型泛函微分方程 

分 类 号：O174[理学—数学]