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1975, Volume 51
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General information
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Contents
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Mathematical problems in the theory of wave propagation. Part 7
High-frequency point source of oscillation in a neighbourhood of a concave mirror
V. M. Babich
5–19
Asymptotical properties of solutions of some three-dimensional problems
V. M. Babich, N. S. Grigor'ev
20–77
Inverse problems of finding boundary condition in the theory of propagation of nonstationary waves. I
A. S. Blagoveshchenskii, K. K. Lavrent'ev
78–84
On the calculation of the function
$G_M(\gamma)$
V. S. Buldyrev, A. I. Lanin
85–92
An estimate of a wave field in a shadow zone in the case of diffraction of spherical wave by infinitely smooth surface
N. S. Grigor'ev
93–118
Coordinate asymptotic for Schrödinger equation with a rapidly oscillating potential
A. R. Its, V. B. Matveev
119–122
Focusing of the WKB-solutions of the equation
$[\Delta+k^2n^2(x)]u=0$
,
$k\to\infty$
A. P. Kiselev
123–128
Inverse problems of the finding boundary condition in the theory of propagation of nonstationary waves. II
K. K. Lavrent'ev
129–133
A contrexample to the Arnold's hypothesis on eigenvibrations of the membrane
V. F. Lazutkin, Yu. A. Hodkov
134–137
To the investigation of Green function's asymptotic of waveguide propagation near the conducting sphere surface problem
A. A. Nedelin
138–154
On resonance series separating onto the “nonphysical” sheet
S. V. Petras
155–169
An addition to the work “Diffraction loses of confocal resonator with mirrors of arbitrary shape”
M. M. Popov
170–171
Short-wave asymptotic for the current in the problem of diffraction by nonplane screens
V. B. Filippov
172–182
Rieman surface of quasiimpulse and the theory of scattering for disturbed Hill operator
N. E. Firsova
183–196
On some special solutions for Helmholtz equation
N. V. Zepelev
197–202
On the virtual state of Schrödinger equation
D. R. Yafaev
203–216
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