This volume contains several papers related to diffraction theory and wave propagation theory. The variety of themes of this issue reflects the diversity of interrelations between the theory of wave phenomena and modern mathematics. Presented here are asymptotics methods of mathematical physics, Wiener-Hopf's techniques, new approaches to the inverse problem of diffraction theory, matrix methods allowing the construction of new mathematical models of complicated geophysical media, and many other problems.

**Aref'ev A.V., Kiselev A. P.**Viscoelastic Love waves in a layered structure with a weak lateral inhomogeneity .......7 (.ps.gz)-
**Babich V. M.**Propagation of waves along weakly nonhomogeneous in the horisontal direction and slowly bent anisotropic elastic layer .......12 (.ps.gz) -
**Bakulin A. V.**Equivalent body forces for jumps of stresses and displacements in Biot model of anisotropic porous medium .......33 (.ps.gz) -
**Belishev M. I., Pushnitskii A. B.**On a triangular factorization of positive operators .......45 (.ps.gz) -
**Borovikov V. A.**Far field excited by moving oscillating source in resonance case .......61 (.ps.gz) -
**Buldyrev V. S., Sokolov A. V., Starkov A. S.**High-frequency wave field of the source moving in the wavequide .......71 (.ps.gz) -
**Kirpichnikova N. Ya.**The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media .......79 (.ps.gz) -
**Kirpichnikova N. Ya., Philippov V. B.**Diffraction of the whispering gallery waves near the line of the curvature jump .......95 (.ps.gz) -
**Kiselev S. G., Markushevich V. M.**Representation of the Rayleigh wave equations in the Sturm--Liouville form .......110 (.ps.gz) -
**Kiselev A. P., Perel M. V.**On the nature of ``quasiphotons'' .......117 (.ps.gz) -
**Krauklis P. V., Krauklis L. A.**To the problem of mapping of the deep cracked zones by seismic observations .......123 (.ps.gz) -
**Luk'yanov V. D.**The application of the matrix Riemann problem to the investigation of normal waves excitation in an acoustic waveguide by a piston radiator .......129 (.ps.gz) -
**Markushevich V. M.**On the scattering by a matrix potential with a symplectic structure .......133 (.ps.gz) -
**Molotkov L. A., Bakulin A. V.**The effective models of the stratified media containing porous Biot layers .......140 (.ps.gz) -
**Molotkov L. A., Bakulin A. V.**The jumps of displacements and stresses as seismic sources in Biot medium .......164 (.ps.gz) -
**Novoselova S. M.**A system of linked resonators in cochlea .......197 (.ps.gz) -
**Popov A. B.**Transparent boundaries for the parabolic wave equation .......211 (.ps.gz) -
**Starkov A. S.**On recovering of the density in the plane domain from incomplete spectral data .......218 (.ps.gz) -
**Troyan V. N., Ryzhikov G. A.**Construction of algorithms of the reconstruction tomography .......225 (.ps.gz) -
**Sharafutdinov V. A.**Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold .......236 (.ps.gz) -
**Yanson Z. A.**Love waves of SH type in transversely-isotropic elastic media .......243 (.ps.gz) -
**Reviews**.......263 (.ps.gz) -
**Paging: 271 pp.** **Language: Russian**

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