Almost periodicity in Fréchet spaces

Journal of Mathematical Analysis and Applications

Volumn 299, Issue 2, 2004, Pages 534-549

  Bugajewski, Dariusz ^a   N'Guérékata, Gaston M ^b  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

^b MORGAN STATE UNIVERSITY   (United States)

Author keywords

Almost periodicity; Asymptotically almost periodicity; Fr chet space; Initial value problem; Volterra integral equation

Indexed keywords

EID: 7244224964     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.05.042     Document Type: Article

References (21)

1. A. Alexiewicz Functional Analysis 1969 PWN Warsaw
2. L. Amerio G. Prouse Almost Periodic Functions and Functional Equations 1971 Van Nostrand-Reinhold New York
3. S. Bochner Continuous mappings of almost automorphic and almost periodic functions Proc. Nat. Acad. Sci. USA 52 1964 907-910
4. D. Bugajewska D. Bugajewski On topological properties of solution sets for differential equations in locally convex spaces Nonlinear Anal. 47 2001 1211-1220
5. D. Bugajewski On the existence of weak solutions of integral equations in Banach spaces Comment. Math. Univ. Carolin. 35 1994 35-41
6. D. Bugajewski, G.M. N'Guérékata, On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces, submitted for publication
7. C. Corduneanu Almost Periodic Functions 1989 Chelsea New York
8. K. Deleeuw I. Glicksberg Applications of almost periodic compactifications Acta Math. 105 1961 63-97
9. A.M. Fink Almost Periodic Differential Equations Lecture Notes in Math. vol. 37 1974 Springer-Verlag Berlin
10. M. Fréchet Fonctions asymptotiquement presque périodiques Rev. Sci. (Rev. Rose Illustrée) 79 1941 341-354
11. J.A. Goldstein Convexity, boundedness and almost periodicity for differential equations in Hilbert spaces Internat. J. Math. Math. Sci. 2 1979 1-13
12. G.M. N'Guérékata Almost periodicity in linear topological spaces and applications to abstract differential equations Internat. J. Math. Math. Sci. 7 1984 529-540
13. G.M. N'Guérékata Notes on almost periodicity in topological vector spaces Internat. J. Math. Math. Sci. 9 1986 201-206
14. G.M. N'Guérékata Almost periodic solutions of certain differential equations in Fréchet spaces Riv. Mat. Univ. Parma 2 1993 301-303
15. G.M. N'Guérékata Almost periodicity of some solutions to linear abstract equations Libertas Math. 16 1996 145-148
16. G.M. N'Guérékata Almost Automorphic and Almost Periodic Functions in Abstract Spaces 2001 Kluwer Academic/Plenum New York
17. M.A. Krasnoselskii S.G. Krein Theory of ordinary differential equations in a Banach space Trudy Sem. Funkts. Anal. Voronezh. Gos. Univ. 2 1956 3-23
18. G. Pianigiani Existence of solutions of an ordinary differential equation in the case of Banach space Bull. Acad. Polon. Math. 8 1960 667-673
19. B.N. Sadovskii Limit-compact and condensing mappings Russian Math. Surveys 27 1972 81-146
20. Q.P. Vu Almost periodic solutions of Volterra equations Differential Integral Equations 7 1994 1083-1093
21. S. Zaidman Almost Periodic Functions in Abstract Spaces 1985 Pitman Advanced Publishing Program Boston