Modern Analysis and Applications

The World Dimension of the Heritage of a Ukrainian Mathematician.- The World Dimension of the Heritage of a Ukrainian Mathematician.- Plenary Talks.- Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth.- Krein Systems.- Spectral Theory of the Infinite Block Jacobi Type Normal Matrices, Orthogonal Polynomials on a Complex Domain, and the Complex Moment Problem.- On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics.- Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains.- On Behavior of Weak Solutions of Operator Differential Equations on (0, ?).- Some Modern Methods in Mechanics of Cracks.- A Method of the Green's Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange.- On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory.- The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone.- Pseudospectral Functions for Canonical Differential Systems.- On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid.- Research Papers.- High-accuracy Stable Difference Schemes for Well-posed NBVP.- The Factorization of the Flow, Defined by the Euler-Poisson's Equations.- On a Moment Problem on a Curve Connected with Ill-posed Boundary Value Problems for a PDE and Some Other Problems.- The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems.- Remarks about Observables for the Quantum Mechanical Harmonic Oscillator.- Remark on Spectral Rigidity forMagnetic Schrödinger Operators.- On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space.- Groups of Operators for Evolution Equations of Quantum Many-particle Systems.- Box-like Shells with Longitudinal Cracks.- Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces of Two Anticommuting Variables.- On the Modified Spectral Stefan Problem and Its Abstract Generalizations.- The Discontinuous Solution for the Piece-homogeneous Transversal Isotropic Medium.- On the Carleman Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation.- On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy.- Elliptic Problems and Hörmander Spaces.- Connection of Solutions of Abstract Paired Equations in Rings with Factorization Pairs.- The Dynamic Problems About the Definition of Stress State Near Thin Elastic Inclusions Under the Conditions of Perfect Coupling.- Fourier Multipliers and Comparison of Linear Operators.- Forced Vibrations of the Infinite Shell of the Square Cross Section.