Nonuniform Exponential Dichotomy for Evolution Families on the Real Line

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• 作者：Petre Preda ; Claudia Morariu
• 关键词：Primary 34D05 ; Secondary 34C35 ; 47D99 ; Nonuniform exponential dichotomy ; Evolution family ; Admissibility
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：13
• 期：1
• 页码：171-189
• 全文大小：571 KB
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• 作者单位：Petre Preda (1)
  Claudia Morariu (1)
  
  1. Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, V. Pârvan Bd. 4, Timişoara, 300223, Timiş, Romania
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

This paper presents some Perron-type results for the nonuniform exponential dichotomy of evolution families on the real line with nonuniform exponential growth. In this manuscript, we describe the admissibility of the pair of spaces \({(\mathcal{L}^p(X), \mathcal{L}^q(X))}\) to an evolution family, when \({(p,q) \neq (1,\infty).}\) This notion is used to obtain a result for the nonuniform exponential dichotomy for an evolution family on the real line. Keywords Nonuniform exponential dichotomy Evolution family Admissibility