Abstract:For a system of linear differential equations with almost periodic coefficients with respect to a group $G$ we generalize previous results by Bochner and Sell. Furthermore we explore the relation between the solutions of the original system and those in its hull.
- S. Bochner, A new approach to almost periodicity, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 2039–2043. MR 145283, DOI 10.1073/pnas.48.12.2039
- George R. Sell, Almost periodic solutions of linear partial differential equations, J. Math. Anal. Appl. 42 (1973), 302–312. Collection of articles dedicated to Salomon Bochner. MR 326118, DOI 10.1016/0022-247X(73)90139-X
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455 B. G. Wybourne, Classical groups for physicists, Interscience, New York, 1974.
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 235-241
- MSC: Primary 35B15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412570-4
- MathSciNet review: 0412570