Almost periodicity of the inverse of a fundamental matrix
HTML articles powered by AMS MathViewer
- by A. M. Fink
- Proc. Amer. Math. Soc. 27 (1971), 527-528
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269929-3
- PDF | Request permission
Abstract:
We show that if $X$ is the fundamental solution to $X’ = AX + XB$ with $X,A$, and $B$ almost periodic $n \times n$ matrices, then ${X^{ - 1}}$ is almost periodic.References
- S. Bochner, Remark on the integration of almost periodic functions, J. London Math. Soc 8 (1933), 250-254.
—, Homogeneous systems of differential equations with almost periodic coefficients, J. London Math. Soc. 8 (1933), 283-288.
- C. E. Langenhop, On bounded matrices and kinematic similarity, Trans. Amer. Math. Soc. 97 (1960), 317–326. MR 114980, DOI 10.1090/S0002-9947-1960-0114980-4
- James C. Lillo, Approximate similarity and almost periodic matrices, Proc. Amer. Math. Soc. 12 (1961), 400–407. MR 125127, DOI 10.1090/S0002-9939-1961-0125127-9
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 527-528
- MSC: Primary 34.45
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269929-3
- MathSciNet review: 0269929