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Integral Methods in Science and Engineering, Volume 1

Analytic Methods

  • Book
  • © 2010

Overview

Editors:
  1. Christian Constanda

    1. Department of Mathematical , University of Tulsa, Tulsa, U.S.A.

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    You can also search for this editor in PubMed   Google Scholar

  2. M.E. Pérez

    1. Departamento de Matematica Aplicada, Universidad Cantabria, Santander, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Illustrates the application of integral methods to diverse problems
  • Applications to a wide spectrum of subjects, ranging from deformable structures, to traffic flow, acoustic wave propagation, spectral computation, among others
  • For a broad audience of graduate students, researchers, and professionals in pure and applied mathematics, physics, biology, and civil and mechanical engineering
  • Includes supplementary material: sn.pub/extras

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Table of contents (31 chapters)

  1. Front Matter

    Pages 1-14
    Download chapter PDF

  2. Homogenization of the Integro-Differential Burgers Equation

    • A. Amosov, G. Panasenko
    Pages 1-8

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

    • J. M. Arrieta, D. Krejĉiřík
    Pages 9-19

  4. Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems

    • C. E. Athanasiadis, V. Sevroglou, I. G. Stratis
    Pages 21-28

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

    • T. G. Ayele, S. E. Mikhailov
    Pages 29-39

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

    • M. Azreg-Aïnou
    Pages 41-51

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

    • N. O. Babych
    Pages 53-63

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

    • G. Bogveradze, L. P. Castro
    Pages 65-74

  9. Fractal Relaxed Problems in Elasticity

    • A. Brillard, M. El Jarroudi
    Pages 75-84

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

    • L. P. Castro, A. Ramos
    Pages 85-94

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

    • L. P. Castro, A. S. Silva
    Pages 95-104

  12. Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations

    • L. P. Castro, E. M. Rojas
    Pages 105-114

  13. Contact Problems in Bending of Thermoelastic Plates

    • I. Chudinovich, C. Constanda
    Pages 115-122

  14. On Burnett Coefficients in Periodic Media with Two Phases

    • C. Conca, J. San Martín, L. Smaranda, M. Vanninathan
    Pages 123-133

  15. On Regular and Singular Perturbations of the Eigenelements of the Laplacian

    • R. R. Gadyl’shin
    Pages 135-148

  16. High-Frequency Vibrations of Systems with Concentrated Masses Along Planes

    • D. Gömez, M. Lobo, M. E. Pérez
    Pages 149-159

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

    • S. M. Haidar
    Pages 161-171

  18. The Conformal Mapping Method for the Helmholtz Equation

    • N. Khatiashvili
    Pages 173-177

  19. 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

    • V. Kolybasova, P. Krutitskii
    Pages 179-182

  20. 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

    • P. A. Krutitskii, N. Ch. Krutitskaya
    Pages 183-192
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Keywords

About this book

TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type. The ?rst two conferences in the series, IMSE1985 and IMSE1990, were hosted by the University of Texas–Arlington. At the latter, the IMSE c- sortium was created and charged with organizing these conferences under the guidance of an International Steering Committee. Subsequently, IMSE1993 took place at Tohoku University, Sendai, Japan, IMSE1996 at the University of Oulu, Finland, IMSE1998 at Michigan Technological University, Houghton, MI, USA, IMSE2000 in Ban?, AB, Canada, IMSE2002 at the University of ´ Saint-Etienne, France, IMSE2004 at the University of Central Florida, - lando, FL, USA, and IMSE2006 at Niagara Falls, ON, Canada. The IMSE conferences are now recognized as an important forum where scientists and engineers working with integral methods express their views about, and int- act to extend the practical applicability of, a very elegant and powerful class of mathematical procedures. A distinguishing characteristic of all the IMSE meetings is their general atmosphere—a blend of utmost professionalism and a strong collegial-social component. IMSE2008, organized at the University of Cantabria, Spain, and attended by delegates from twenty-seven countries on ?ve continents, ma- tained this tradition, marking another unquali?ed success in the history of the IMSE consortium.

Editors and Affiliations

  • Department of Mathematical , University of Tulsa, Tulsa, U.S.A.

    Christian Constanda

  • Departamento de Matematica Aplicada, Universidad Cantabria, Santander, Spain

    M.E. Pérez

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