Trudy Mat. Inst. Steklov., 1968, Volume 95

Trudy Matematicheskogo Instituta im. V. A. Steklova

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1968, Volume 95

Contents

Asymptotic methods and stochastic models in wave propagation problems

Work collection

	Preface G. I. Petrashen, K. P. Latishev		3–5
	The formulation of wave propagation problems in media with effective random parameters B. J. Gel'činskii		7–20
	Probabilistic characteristics and asymptotic distributions of once-reflected sum waves in a stochastic model of a stratified medium as applied to seismic prospecting L. A. Zolotuhina		21–41
	Stochastic models of a stratified medium, and probabilistic properties of reflected waves that propagate in these media L. A. Zolotuhina, K. P. Latishev, V. N. Chugueva		42–97
	Head waves in a medium with a high-speed layer P. V. Krauklis		98–105
	Construction of an asymptotic series for eigenfunctions of the “bouncing ball” type V. F. Lazutkin		106–118
	Green's function for the diffraction problem on a convex cylinder with variable impedance I. A. Molotkov		119–131
	On the propagation of elastic waves from an irregularly moving source L. A. Molotkov		132–150
	On the engineering equations of vibrations of imperfectly elastic thin plates G. I. Petrashen, È. V. Hinen		151–183
	The propagation of oscillations in a medium with a transition layer N. V. Zepelev		184–212