Well-posed boundary-value problems, right hyperbolicity, and exponential dichotomy

详细信息    查看全文

• 作者：A. B. Antonevich ; E. V. Panteleeva
• 关键词：differential operator equation ; boundary ; value problem ; hyperbolic operator ; exponential dichotomy ; spectrum
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：100
• 期：1-2
• 页码：11-23
• 全文大小：658 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876
• 卷排序：100

文摘

A relationship between the existence of well-posed boundary-value problems and exponential dichotomy for functional equations and linear differential-operator equations on a half-line is considered. It is shown that well-posed boundary-value problems can exist for equations without the exponential dichotomy property.