Exponential dichotomies for almost periodic equations
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- by Kenneth J. Palmer PDF
- Proc. Amer. Math. Soc. 101 (1987), 293-298 Request permission
Abstract:
It is shown that if an almost periodic equation has an exponential dichotomy on a sufficiently long finite interval, then it has one on $( - \infty ,\infty )$.References
- W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Company, Boston, Mass., 1965. MR 0190463
- W. A. Coppel, Dichotomies in stability theory, Lecture Notes in Mathematics, Vol. 629, Springer-Verlag, Berlin-New York, 1978. MR 0481196
- Lawrence Markus and Hidehiko Yamabe, Global stability criteria for differential systems, Osaka Math. J. 12 (1960), 305–317. MR 126019
- Kenneth J. Palmer, A perturbation theorem for exponential dichotomies, Proc. Roy. Soc. Edinburgh Sect. A 106 (1987), no. 1-2, 25–37. MR 899938, DOI 10.1017/S0308210500018175
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 293-298
- MSC: Primary 34C27; Secondary 34C11
- DOI: https://doi.org/10.1090/S0002-9939-1987-0902544-6
- MathSciNet review: 902544