Titlebook: Mathematical Problems in Wave Propagation Theory; V. M. Babich Book 1970 Consultants Bureau, New York 1970 elasticity.Helmholtz equation.m

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B. G. Nikolaev N-nitroso compounds (N-NC) has been established in all 40 animal species so far tested [2,3] with varying degrees of susceptibility in different organs including the liver, stomach, oesophagus, intestines, bladder, brain, lung and kidney. Depending on the experimental conditions a marked degree of

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B. G. Nikolaev); Rend. Circ. Mat. Palermo (2) 69(3):1115–1130 (2020); Arch. Math. (Basel) 117(5):579–591 (2021)) related to convex sets in the plane and in the space..In the plane, we deal with Hurwitz’s inequality, which provides an upper bound of the isoperimetric deficit of a convex set . in terms of the area

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B. G. Nikolaev activities. Substances which pollute the air include gases like oxides of carbon, sulphur and nitrogen and the hydrocarbons emitted by thermal plants, motor vehicles and chemical industries. The increase in the level of carbon dioxide produces greenhouse effect, while nitrogen and sulphur oxides co

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Sharply Directed Propagation of Love-Type Surface Waves,d the condition of absence of stresses on the boundary . of an arbitrary elastic body and which are concentrated in a neighborhood of a ray . on .. The vector . is constructed by the parabolic-equation method.

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The Calculation of Interference Waves for Diffraction by a Cylinder and a Sphere,s the study of waves of interference type (head waves and interference-surface waves). To describe the interference waves formulas were obtained which contain the special functions G. (.) and Γ. (.) having the form. where W, (T) and W. (T) are the well-known Airy functions and γis the reduced angula

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Solution of Three-Dimensional Problems for the Hyperboloid of Revolution and the Lens in Electricalical boundary of separation. The solutions are obtained by integrating the Laplace equation in degenerate ellipsoidal (toroidal) coordinates. To find the coefficients, a generalization of the Mehler-Fok integral theorem to the case . ft is used. The final expressions for the potential functions are

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Application of the Laplace Method to the Construction of Solutions of the Helmholtz Equation,akes it possible to successfully study processes of wave propagation and diffraction [1–9]; it is widely used in solving problems of the theory of heat conduction [10–14] and also in a number of other cases [15–17], However, together with the well-known advantages of this method, there are also shor

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The Problem of Constructing Solutions of the Neumann Problem for the Stationary Diffraction of Waveblems of multilayer angular regions and elastic media. One of the typical problems of this class is the Neumann problem for a half space separated by an inclined rectilinear boundary into two angular regions with different wave propagation speeds. The mathematical formulation of this problem is as f