Modern Analysis and Applications

The Mark Krein Centenary Conference Volume 2: Differential Operators and Mechanics

ISBN: 978-3-7643-9920-7 (Print) 978-3-7643-9921-4 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages i-ix

  2. The World Dimension of the Heritage of a Ukrainian Mathematician

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      Pages xi-xv

      The World Dimension of the Heritage of a Ukrainian Mathematician

  3. Plenary Talks

    1. Front Matter

      Pages 1-1

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      Pages 3-17

      Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth

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      Pages 19-36

      Krein Systems

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      Pages 37-50

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

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      Pages 51-79

      On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics

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      Pages 81-113

      Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

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      Pages 115-126

      On Behavior of Weak Solutions of Operator Differential Equations on (0, ∞)

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      Pages 127-142

      Some Modern Methods in Mechanics of Cracks

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      Pages 143-154

      A Method of the Green’s Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange

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      Pages 155-171

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

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      Pages 173-186

      The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone

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      Pages 187-219

      Pseudospectral Functions for Canonical Differential Systems

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      Pages 221-225

      On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid

  4. Research Papers

    1. Front Matter

      Pages 227-227

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      Pages 229-252

      High-accuracy Stable Difference Schemes for Well-posed NBVP

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      Pages 253-271

      The Factorization of the Flow, Defined by the Euler-Poisson’s Equations

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      Pages 273-289

      On a Moment Problem on a Curve Connected with Ill-posed Boundary Value Problems for a PDE and Some Other Problems

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      Pages 291-304

      The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems

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      Pages 305-321

      Remarks about Observables for the Quantum Mechanical Harmonic Oscillator

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      Pages 323-329

      Remark on Spectral Rigidity for Magnetic Schrödinger Operators

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      Book Chapter

      Pages 331-340

      On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space

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