A remark on an example of R. A. Johnson
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- by George R. Sell PDF
- Proc. Amer. Math. Soc. 82 (1981), 206-208 Request permission
Abstract:
In [3] Johnson constructs an example of a second-order linear differential equation with almost periodic coefficients and with an almost automorphic behavior which we describe as Property J. In this paper we give a necessary and sufficient condition that a second order linear differential equation has Property J.References
- A. M. Fink, Almost periodic differential equations, Lecture Notes in Mathematics, Vol. 377, Springer-Verlag, Berlin-New York, 1974. MR 0460799
- Russell A. Johnson, On a Floquet theory for almost-periodic, two-dimensional linear systems, J. Differential Equations 37 (1980), no. 2, 184–205. MR 587221, DOI 10.1016/0022-0396(80)90094-7
- Russell A. Johnson, A linear, almost periodic equation with an almost automorphic solution, Proc. Amer. Math. Soc. 82 (1981), no. 2, 199–205. MR 609651, DOI 10.1090/S0002-9939-1981-0609651-0
- Russell Johnson, Bounded solutions of scalar, almost periodic linear equations, Illinois J. Math. 25 (1981), no. 4, 632–643. MR 630840
- Robert J. Sacker and George R. Sell, Lifting properties in skew-product flows with applications to differential equations, Mem. Amer. Math. Soc. 11 (1977), no. 190, iv+67. MR 448325, DOI 10.1090/memo/0190
- Robert J. Sacker and George R. Sell, A spectral theory for linear differential systems, J. Differential Equations 27 (1978), no. 3, 320–358. MR 501182, DOI 10.1016/0022-0396(78)90057-8
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 206-208
- MSC: Primary 34C28; Secondary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0609652-2
- MathSciNet review: 609652