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

ZHANG Liuwei

doi:10.13471/j.cnki.acta.snus.2016.01.005

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

更新时间：2023-12-11

- Almost periodic mild solutions to functional differential equations of neutral type in Banach space
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 55, Issue 1, Pages: 30-34(2016)
- 作者机构：
  
  中山大学中法核工程与技术学院,广东,珠海,519082
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2016.01.005
  CLC：
- Published：2016，
  
  Published Online：25 January 2016，
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ZHANG Liuwei. Almost periodic mild solutions to functional differential equations of neutral type in Banach space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(1):30-34(2016)
DOI：

ZHANG Liuwei. Almost periodic mild solutions to functional differential equations of neutral type in Banach space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(1):30-34(2016) DOI： 10.13471/j.cnki.acta.snus.2016.01.005.

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c

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。

Abstract

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 c

. 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

Keywords

almost periodicityCarleman spectrumlinear operator semigroupsfunctional differential equations of neutral type

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ZHANG Liuwei

XU Yuantong

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School of Mathematics and Computational Science, Sun Yatsen University, Guangzhou

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