Dichotomies for Abstract Semilinear Equations

Y. H. Chang*, R. H. Martin

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper we present results concerning the existence of solutions in certain abstract semilinear equations and the asymptomatic behavior of these solutions. We also study the sufficient conditions of the conditional stability for the zero solution. The basic techniques used are Lyapunov-like methods and fixed point theory for differential equations in Banach space. However, the improvement here is that it can be applied directly to non-linear equations and hence, we do not need to assume that the differential equation can be linearized.

原文英語
頁(從 - 到)194-214
頁數21
期刊Journal of Mathematical Analysis and Applications
189
發行號1
DOIs
出版狀態已發佈 - 1995 一月 1

ASJC Scopus subject areas

  • 分析
  • 應用數學

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