Favard's theorem for almost periodic processes on banach space

Dynamic Systems and Applications

Volumn 14, Issue 3-4, 2005, Pages 615-632

  Hu, Zuosheng ^a   Mingarelli, Angelo B ^a  

^a CARLETON UNIVERSITY   (Canada)

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[No Author keywords available]

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EID: 29444453685     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. L. Amerio, Soluzioni quasi-periodiche, o limitate, di sistemi differenziali non lineari quasi-periodici, o limiteti, Annali Mat. Pura ed appl. 39(1955) 97-119.
2. S. Bochner, A nwe approch to almost periodicity, Proc. Nat. Acad. Sci. U. S. A. 48(1962), 2039-2043.
3. C. M. Dafermos, Almost periodic processes and almost periodic solutions of evolution equations, in "Dynamical Systems, Proceeding of a University of Florida International Symposium", pp 43-57, Academic Press, New York, 1977
4. J. Favard, "Lecons sur les functions presque-periodiques," Gauthier-Villars, Paris 1933
5. A. M. Fink, "Almost periodic differential equations," Lecture Notes in Mathematics, Vol. 377, Springer-Verlay, New York, 1974.
6. J. K. Hale, "Theory of Functional Differential equations", Springer-Verlag, New York, 1977
7. A. Haraux, "Nonlinear Evolution Equation-Global Behavior of Solutions," Lecture Notes in Mathematics, Vol. 841, Springer-Verlay, New York, 1981.
8. Z. Hu and Mingarelli, On a Favard Theorem, Proc. Amer. Math. Soc. Vol. 132 (2004), 417-428.
9. H. Ishii, On the existence of almost periodic trajectories for contractive almost periodic processes, J. Differential equations, Vol. 43(1983), 66-72.
10. N. Levinson, Transformation theory of nonlinear differential equations of second order. Annals of Math. 45(1944), 724-737.
11. T. Yoshizawa, "Stability Theory and the existenxe of periodic solutions and almost periodic solutions," Springer-Verlag, New York, 1975