Massera's theorem for almost periodic solutions of functional differential equations

• MURAKAMI Satoru

  Department of Applied Mathematics Okayama University of Science

• NAITO Toshiki

  Department of Mathematics University of Electro-Communications

• MINH Nguyen VAN

  Department of Mathematics Hanoi University of Science

書誌事項

タイトル別名

• Dedicated to Professor Yoshiyuki Hino on his sixtieth birthday

抄録

The Massera Theorem for almost periodic solutions of linear periodic ordinary differential equations of the form (*) x^{'}=A(t)x+f(t), where f is almost periodic, is stated and proved. Furthermore, it is extended to abstract functional differential equations (**) x^{'}=Ax+F(t)x_t+f(t), where A is the generator of a compact semigroup, F is periodic and f is almost periodic. The main techniques used in the proofs involve a new variation of constants formula in the phase space and a decomposition theorem for almost periodic solutions.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 56 (1), 247-268, 2004

  一般社団法人 日本数学会

キーワード

• Abstract functional differential equation
• almost periodic solutions
• Massera's theorem
• decomposition
• variation of constants formula

詳細情報

• CRID: 1390001205114818816
• NII論文ID: 10013122753
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1191418705
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• ISSN: http://id.crossref.org/issn/00255645
• MRID: 2027625
• NDL書誌ID: 6824936
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6824936
• 本文言語コード: en
• データソース種別:
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