Modern Analysis and Applications

, by Adamian, V. M.; Berezansky, Yurij; Gohberg, Israel; Gorbachuk, Myroslav; Gorbachuk, Valentyna

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ISBN: 9783764399207 | 3764399201
Cover: Hardcover
Copyright: 6/1/2009

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This is the second of two volumes containing peer-reviewed research and survey papers based on invited talks at the International Conference on Modern Analysis and Applications. The conference, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 9-14, 2007. The papers describe the contemporary development of subjects influenced by Krein, such as the theory of operators in Hilbert and Krein spaces, differential operators, applications of functional analysis in function theory, theory of networks and systems, mathematical physics and mechanics.

Preface	p. ix
The World Dimension of the Heritage of a Ukrainian Mathematician	p. xi
Plenary Talks
Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth	p. 3
Krein Systems	p. 19
Spectral Theory of the Infinite Block Jacobi Type Normal Matrices, Orthogonal Polynomials on a Complex Domain, and the Complex Moment Problem	p. 37
On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics	p. 51
Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains	p. 81
On Behavior of Weak Solutions of Operator Differential Equations on (0, ∞)	p. 115
Some Modern Methods in Mechanics of Cracks	p. 127
A Method of the Green's Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange	p. 143
On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory	p. 155
The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone	p. 173
Pseudospectral Functions for Canonical Differential Systems	p. 187
On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid	p. 221
Research Papers
High-accuracy Stable Difference Schemes for Well-posed NBVP	p. 229
The Factorization of the Flow, Defined by the Euler-Poisson's Equations	p. 253
On a Moment Problem on a Curve Connected with Ill-posed Boundary Value Problems for a PDE and Some Other Problems	p. 273
The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems	p. 291
Remarks about Observables for the Quantum Mechanical Harmonic Oscillator	p. 305
Remark on Spectral Rigidity for Magnetic Schrödinger Operators	p. 323
On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space	p. 331
Groups of Operators for Evolution Equations of Quantum Many-particle Systems	p. 341
Box-like Shells with Longitudinal Cracks	p. 357
Integrable Supersymmetric Hierarchies on Extended Phase Spaces of Two Anticommuting Variables	p. 365
On the Modified Spectral Stefan Problem and Its Abstract Generalizations	p. 381
The Discontinuous Solution for the Piece-homogeneous Transversal Isotropic Medium	p. 395
On the Carleman Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation	p. 407
On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy	p. 445
Elliptic Problems and Hörmander Spaces	p. 455
Connection of Solutions of Abstract Paired Equations in Rings with Factorization Pairs	p. 479
The Dynamic Problems About the Definition of Stress State Near Thin Elastic Inclusions Under the Conditions of Perfect Coupling	p. 485
Fourier Multipliers and Comparison of Linear Operators	p. 499
Forced Vibrations of the Infinite Shell of the Square Cross Section	p. 515
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Modern Analysis and Applications

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