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Literature cited
H. Lamb, The Dynamical Theory of Sound, Dover, New York (1960).
H. Reichardt, “Ausstrahlungsbedingunen für die Wellengleichung,” in: Abhandlungen aus dem Mathematischen Seminar Universität, Hamburg (1960).
G. Schwarze, “Über die 1 und 2 aussere Randwertaufgabe der Schwingungsgleichung ΔF+k2F=0,” Math. Nachrichten,28, No. 5/6 (1965).
P. Lax and R. Phillips, Scattering Theory, Academic Press, New York (1967).
A. A. Arsen'ev, “On the singularities of the analytic continuation and resonance properties of the solution of the scattering problem for the Helmholtz equation,” Zh. Vychisl. Mat. Mat. Fiz.,12, No. 1 (1972).
A. A. Arsen'ev, “On the existence of resonance poles and resonances for scattering with boundary conditions of the second and third kinds,” Zh. Vychisl. Mat. Mat. Fiz.,16, No. 3 (1976).
N. I. Muskhelishvili, Singular Integral Equations, Noordhoff, Gronigen (1953).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York (1966).
H. Yoshio, “A singular integral equation approach to electromagnetic fields for circular boundaries with slots,” J. Appl. Sci. Res. B,12, 331 (1965–1966).
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1980).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 103–109, January–February, 1981.
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Kurzin, V.B., Sukhinin, S.V. Natural vibrational frequencies of a gas outside a circular cylindrical surface. J Appl Mech Tech Phys 22, 85–90 (1981). https://doi.org/10.1007/BF00911577
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DOI: https://doi.org/10.1007/BF00911577