Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 56, Number 1 (2004), 247-268.
Massera's theorem for almost periodic solutions of functional differential equations
The Massera Theorem for almost periodic solutions of linear periodic ordinary differential equations of the form , where is almost periodic, is stated and proved. Furthermore, it is extended to abstract functional differential equations , where is the generator of a compact semigroup, is periodic and 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.
J. Math. Soc. Japan, Volume 56, Number 1 (2004), 247-268.
First available in Project Euclid: 3 October 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34K14: Almost and pseudo-periodic solutions
Secondary: 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] 34G10: Linear equations [See also 47D06, 47D09] 34C27: Almost and pseudo-almost periodic solutions
MURAKAMI, Satoru; NAITO, Toshiki; Van MINH, Nguyen. Massera's theorem for almost periodic solutions of functional differential equations. J. Math. Soc. Japan 56 (2004), no. 1, 247--268. doi:10.2969/jmsj/1191418705. https://projecteuclid.org/euclid.jmsj/1191418705