The Favard Separation Condition for Almost Periodic Linear Systems

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• 作者：Massimo Tarallo (1)
  
• 关键词：Almost periodic linear systems ; Favard separation condition ; Bounded solutions ; 34A30 ; 34C27
• 刊名：Journal of Dynamics and Differential Equations
• 出版年：2013
• 出版时间：June 2013
• 年：2013
• 卷：25
• 期：2
• 页码：291-304
• 全文大小：192KB
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  15. Sell, G.R.: Linear differential systems. Lecture Notes, Univ. of Minnesota (1975)
  16. Vinograd, R.E.: A projected trace and partwise isometric transformations fo almost periodic systems. Proc. Am. Math. Soc. 86, 299鈥?04 (1982) CrossRef
  17. Zhikov, V.V., Levitan, B.M.: Favard theory. Russ. Math. Surv. 32, 129鈥?80 (1977) CrossRef
  
• 作者单位：Massimo Tarallo (1)
  
  1. Universit脿 di Milano, Via Saldini 50, 20133, Milan, Italy
  
• ISSN：1572-9222

文摘

For linear systems which depend almost periodically on time, the Favard separation condition is shown to be equivalent to the following dimensional fact: all the systems in the hull have the same number of independent bounded solutions.