Massera's theorem for almost periodic solutions of functional differential equations
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概要
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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<SUB>t</SUB>+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.
- 社団法人 日本数学会の論文
- 2004-01-01
著者
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Naito Toshiki
Department Of Mathematics The University Of Electro-comunications
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Naito Toshiki
Department Of Mathematics University Of Electro-communications
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MURAKAMI Satoru
Department of Applied Mathematics Okayama University of Science
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MINH Nguyen
Department of Mathematics Hanoi University of Science
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