Keywords
- Continuous Spectrum
- Essential Spectrum
- Floquet Theory
- Compact Perturbation
- Stability Interval
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References
N.I. Akhiezer and I.M. Glazman, "Theory of Linear Operators in Hilbert Space", Vol. II, Pitman, Boston, 1980.
F.V. Atkinson, "Discrete and Continuous Boundary Problems", Academic Press, New York, 1964.
B.J. Harris, On the spectra and stability of periodic differential equations, Proc. London Math. Soc. (3), 41 (1980), 161–192.
D.B. Hinton and J.K. Shaw, Absolutely continuous spectra of Dirac systems with long range, short range and oscillating potentials, Quart. J. Math. Oxford (2), 36(1985), 183–213.
D.B. Hinton and J.K. Shaw, On the absolutely continuous spectrum of the perturbed Hill's equation”, Proc. London Math. Soc. (3), 50(1985), 175–192.
D.B. Hinton and J.K. Shaw, Absolutely continous spectra of perturbed periodic Hamiltoniam systems, to appear in Rocky Mtn. J. Math.
E. Müller-Pfeiffer, "Spectral Theory of Ordinary Differential Equations", Ellis Horwood Limited, Chichester, 1981.
M. Reed and B. Simon, "Methods of Modern Mathematical Physics", Vol. IV, Academic Press, New York, 1978.
J. Weidmann, "Linear Operators in Hilbert Spaces", Springer-Verlag, New York, 1980.
A. Wintner, Addenda to the paper on Bôcher's Theorem, Amer. J. Math., 78(1956), 895–897.
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© 1987 Springer-Verlag
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Hinton, D.B., Shaw, J.K. (1987). Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080594
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DOI: https://doi.org/10.1007/BFb0080594
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