Book 2010

Integral Methods in Science and Engineering, Volume 1

Analytic Methods


ISBN: 978-0-8176-4898-5 (Print) 978-0-8176-4899-2 (Online)

Table of contents (31 chapters)

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  1. Front Matter

    Pages 1-14

  2. Chapter

    Pages 1-8

    Homogenization of the Integro-Differential Burgers Equation

  3. Chapter

    Pages 9-19

    Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain

  4. Chapter

    Pages 21-28

    Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems

  5. Chapter

    Pages 29-39

    Two-Operator Boundary–Domain Integral Equations for a Variable-Coefficient BVP

  6. Chapter

    Pages 41-51

    Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity

  7. Chapter

    Pages 53-63

    The Bottom of the Spectrum in a Double-Contrast Periodic Model

  8. Chapter

    Pages 65-74

    Fredholm Characterization of Wiener–Hopf–Hankel Integral Operators with Piecewise Almost Periodic Symbols

  9. Chapter

    Pages 75-84

    Fractal Relaxed Problems in Elasticity

  10. Chapter

    Pages 85-94

    Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay

  11. Chapter

    Pages 95-104

    Fredholm Index Formula for a Class of Matrix Wiener–Hopf Plus and Minus Hankel Operators with Symmetry

  12. Chapter

    Pages 105-114

    Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations

  13. Chapter

    Pages 115-122

    Contact Problems in Bending of Thermoelastic Plates

  14. Chapter

    Pages 123-133

    On Burnett Coefficients in Periodic Media with Two Phases

  15. Chapter

    Pages 135-148

    On Regular and Singular Perturbations of the Eigenelements of the Laplacian

  16. Chapter

    Pages 149-159

    High-Frequency Vibrations of Systems with Concentrated Masses Along Planes

  17. Chapter

    Pages 161-171

    On J. Ball’s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity

  18. Chapter

    Pages 173-177

    The Conformal Mapping Method for the Helmholtz Equation

  19. Chapter

    Pages 179-182

    Integral Equation Method in a Problem on Acoustic Scattering by a Thin Cylindrical Screen with Dirichlet and Impedance Boundary Conditions on Opposite Sides of the Screen

  20. Chapter

    Pages 183-192

    Existence of a Classical Solution and Nonexistence of a Weak Solution to the Dirichlet Problem for the Laplace Equation in a Plane Domain with Cracks

  21. Chapter

    Pages 193-204

    On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems

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