Operator Theory and Differential Equations [Paperback]

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.

Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds.- Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term.- On The Brezis-Lieb Lemma and Its Extensions.- On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions.- The Conditions of Global Boundedness for the Solutions of Continuous Social Stratification Model.- Stochastic Test of a Minimal Surface.- On Isomorphism of Some Functional Spaces under Action of Two Dimensional Singular  Integral Operators.- On One Class of Solutions of The Darboux System.- Boolean Valued Analysis: Background And Results.- Approximation Properties of Vallee Poussin Means For Special Series of Ultraspherical Jacobi.- Laplaces Integrals And Stability of The Open Flows of in Viscid Incompressible Fluid.- Spectral Properties of Killing Vector Fields of Constanl¥