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Литература
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V. Babich, M. Lyalinov, V. Grikurov, Diffraction theory: the Sommerfeld-Malyuzhinets technique, Alpha Science, Oxford, 2008 |
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L. Brekhovskikh, Yu. Lysanov, Fundamentals of ocean acoustics., Springer-Verlag, Berlin–Heidelberg–GmbH, 1982 |
4. |
В. С. Булдырев, В. С. Буслаев, “Асимптотические методы в задачах распространения звука в океанических волноводах и их численная реализация”, Зап. научн. семин. ЛОМИ, 117, 1981, 39–77 |
5. |
Frank W. J. Olver, Asymptotics and special functions, Academic Press, New York, 1974 |
6. |
A. B. Smirnov, A. A. Fedotov, “Adiabatic Evolution Generated by a Schrödinger Operator with Discrete and Continuous Spectra”, Funct. Anal. Appl., 50:1 (2016), 76–79 |
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A. Fedotov, Adiabatic evolution generated by a one-dimensional Schrödinger operator with decreasing number of eigenvalues, 2016, arXiv: 1609.09473 |
8. |
A. D. Pierce, “Extension of the method of normal modes to sound propagation in an almost-stratified medium”, J. Acoust. Soc. Amer., 37 (1965), 19–27 |
9. |
A. D. Pierce, “Guided mode disappearance during upslope propagation in variable depth shallow water overlying a fluid bottom”, J. Acoust. Soc. Amer., 72 (1982), 523–531 |
10. |
S. Teufel, Adiabatic Perturbation Theory in Quantum Dynamics, Lec. Notes Math., 1821, Springer-Verlag, Berlin–Heidelberg, 2003 |
11. |
R. Wong, Asymptotic approximations of integrals, SIAM, Philadelphia, 2001 |