Mathematical models and operator equations. (Q2776780)

The book contains a collection of articles where functional analysis and the theory of operator equations are applied to development and investigation of mathematical models in technology and engineering, mainly in technical hydrodynamics, elasticity, and in dynamics of technical units. Some papers are devoted to abstract theory of partial differential equations, interpolation and singularities. NEWLINENEWLINENEWLINEContents: \textit{S. N. Afanas'ev}, On solvability of a homogeneous abstract hyperbolic Cauchy problem in Banach space; \textit{A. Yu. Borzakov, C. G. Valyukhov, V. A. Kostin, V. P. Orlov, Yu. I. Sapronov}, Stationary axially symmetric flows in a cylindrical hydrocyclone; \textit{S. G. Valyukhov, N. D. Vervejko, O. A. Smotrova, V. V. Khodus, C. V. Yaroslavtsev}, Elementary theory of hydrocyclone; \textit{N. D. Vervejko, A. A. Voronkov, O. A. Smotrova}, Propagation of hydroshock waves in a duct with two-component fluid; \textit{N. D. Vervejko, D. Yu. Grebennikov, A. M. Sushkov}, Energetic approach to the investigation of stressed and deformed states of walls of a deformable circular tube; \textit{O. Yu. Danilova}, Symmetric bifurcations of extremals near a boundary of Banach manifold; \textit{Yu. V. Zasorin}, Method of Green's function for a third-order equation; \textit{V. R. Zachepa}, On \(v\)-stability of a germ of quasi-homogeneous map at a singular point; \textit{E. D. Kravishvili}, Interpolational theorems in couples of spaces \(L_p\) with functional parameters; \textit{I. Yu. Kretinin, L. A. Minin, M. Yu. Safonov, S. E. Shvagerus}, Electrocardiogram processing by splashes with compact supports; \textit{L. A. Minin, D. S. Chembartsev}, Calculation of potential and turbulent flows in a hydrocyclone by net method; \textit{Yu. G. Morozov}, A bifurcation effect in nonlinear model describing equilibrium forms of a rod on elastic foundation; \textit{Yu. I. Sapronov, V. A. Smol'yanov}, Generalized Caccioppoli reduction and bifurcation of solutions of equations under breaking of continuous symmetries; \textit{V. V. Khodus, S. V. Yaroslavtsev}, Methods for calculation of parameters for hydrocyclones and water-slime schemes for hydrocyclone units.