Modern Analysis and Applications

1. The World Dimension of the Heritage of a Ukrainian Mathematician
Yu. Berezansky, V. Gorbachuk

Part 1. Plenary Talks

2. Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth
Sergey Aizikovich, Victor Alexandrov, Irina Trubchik

3. Krein Systems
D. Alpay, I. Gohberg, M. A. Kaashoek, L. Lerer, A. Sakhnovich

4. Spectral Theory of the Infinite Block Jacobi Type Normal Matrices, Orthogonal Polynomials on a Complex Domain, and the Complex Moment Problem
Yu.M. Berezansky

5. On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics
George L. Brovko, Olga A. Ivanova, Alexandra S. Finoshkina

6. Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains
Fritz Gesztesy, Marius Mitrea

7. On Behavior of Weak Solutions of Operator Differential Equations on (0, ∞)
M. L. Gorbachuk, V. I. Gorbachuk

8. Some Modern Methods in Mechanics of Cracks
Mikhail A. Grekov, Nikita F. Morozov

9. A Method of the Green’s Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange
Roman Kushnir, Borys Protsiuk

10. On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory
S. M. Mkhitaryan

11. The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone
Gennadiy Popov, Nataly Vaysfel’d

12. Pseudospectral Functions for Canonical Differential Systems
J. Rovnyak, L.A. Sakhnovich

13. On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid
Igor Selezov

Part 2. Research Papers

14. High-accuracy Stable Difference Schemes for Well-posed NBVP
Allaberen Ashyralyev

15. The Factorization of the Flow, Defined by the Euler-Poisson’s Equations
Alexandr Belyaev

16. On a Moment Problem on a Curve Connected with Ill-posed Boundary Value Problems for a PDE and Some Other Problems
V. P. Burskii

17. The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems
Fedir Chaban, Heorgiy Shynkarenko

18. Remarks about Observables for the Quantum Mechanical Harmonic Oscillator
Heinz Otto Cordes

19. Remark on Spectral Rigidity for Magnetic Schrödinger Operators
Gregory Eskin, James Ralston

20. On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space
Sergey Gefter, Tatyana Stulova

21. Groups of Operators for Evolution Equations of Quantum Many-particle Systems
V. I. Gerasimenko

22. Box-like Shells with Longitudinal Cracks
V. A. Grishin, V. V. Reut, E. V. Reut

23. Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces of Two Anticommuting Variables
Oksana Ye. Hentosh

24. On the Modified Spectral Stefan Problem and Its Abstract Generalizations
N. D. Kopachevsky, V. I. Voytitsky

25. The Discontinuous Solution for the Piece-homogeneous Transversal Isotropic Medium
Oleksandr Kryvyy

26. On the Carleman Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation
Marat V. Markin

27. On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
Johanna Michor, Gerald Teschl

28. Elliptic Problems and Hörmander Spaces
Vladimir A. Mikhailets, Aleksandr A. Murach

29. Connection of Solutions of Abstract Paired Equations in Rings with Factorization Pairs
Gennadiy Poletaev

30. The Dynamic Problems About the Definition of Stress State Near Thin Elastic Inclusions Under the Conditions of Perfect Coupling
V. G. Popov, O. V. Litvin, A. P. Moysyeyenok

31. Fourier Multipliers and Comparison of Linear Operators
R.M. Trigub

32. Forced Vibrations of the Infinite Shell of the Square Cross Section
V. M. Vorobel, V. V. Reut

Keywords: Mathematics, Analysis, Operator Theory, Functional Analysis, Integral Equations