Integral Methods in Science and Engineering, Volume 1

Edited by Christian Constanda () and M.E. Pérez ()

in Springer Books from Springer

Date: 2010
ISBN: 978-0-8176-4899-2
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Chapters in this book:

Ch 1 Homogenization of the Integro-Differential Burgers Equation

A. Amosov and G. Panasenko

Ch 2 Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain

J. M. Arrieta and D. Krejĉiřík

Ch 3 Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems

C. E. Athanasiadis, V. Sevroglou and I. G. Stratis

Ch 4 Two-Operator Boundary–Domain Integral Equations for a Variable-Coefficient BVP

T. G. Ayele and S. E. Mikhailov

Ch 5 Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity

M. Azreg-Aïnou

Ch 6 The Bottom of the Spectrum in a Double-Contrast Periodic Model

N. O. Babych

Ch 7 Fredholm Characterization of Wiener–Hopf–Hankel Integral Operators with Piecewise Almost Periodic Symbols

G. Bogveradze and L. P. Castro

Ch 8 Fractal Relaxed Problems in Elasticity

A. Brillard and M. El Jarroudi

Ch 9 Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay

L. P. Castro and A. Ramos

Ch 10 Fredholm Index Formula for a Class of Matrix Wiener–Hopf Plus and Minus Hankel Operators with Symmetry

L. P. Castro and A. S. Silva

Ch 11 Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations

L. P. Castro and E. M. Rojas

Ch 12 Contact Problems in Bending of Thermoelastic Plates

I. Chudinovich and C. Constanda

Ch 13 On Burnett Coefficients in Periodic Media with Two Phases

C. Conca, J. San Martín, L. Smaranda and M. Vanninathan

Ch 14 On Regular and Singular Perturbations of the Eigenelements of the Laplacian

R. R. Gadyl’shin

Ch 15 High-Frequency Vibrations of Systems with Concentrated Masses Along Planes

D. Gömez, M. Lobo and M. E. Pérez

Ch 16 On J. Ball’s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity

S. M. Haidar

Ch 17 The Conformal Mapping Method for the Helmholtz Equation

N. Khatiashvili

Ch 18 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 and P. Krutitskii

Ch 19 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 and N. Ch. Krutitskaya

Ch 20 On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems

M. Lobo and M. E. Pérez

Ch 21 Asymptotic Analysis of Spectral Problems in Thick Multi-Level Junctions

T. A. Mel’nyk

Ch 22 Integral Approach to Sensitive Singular Perturbations

N. Meunier and É. Sanchez–Palencia

Ch 23 Regularity of the Green Potential for the Laplacian with Robin Boundary Condition

D. Mitrea and I. Mitrea

Ch 24 On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains

I. Mitrea and M. Mitrea

Ch 25 Propagation of Waves in Networks of Thin Fibers

S. Molchanov and B. Vainberg

Ch 26 Homogenization of a Convection–Diffusion Equation in a Thin Rod Structure

G. Panasenko, I. Pankratova and A. Piatnitski

Ch 27 Existence of Extremal Solutions of Singular Functional Cauchy and Cauchy–Nicoletti Problems

S. Seikkala and S. Heikkilä

Ch 28 Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone

V. B. Vasilyev

Ch 29 Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations

F. Verhulst

Ch 30 Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics

K. Yunt

Ch 31 Regularization of Divergent Integrals in Boundary Integral Equations for Elastostatics

V. V. Zozulya

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DOI: 10.1007/978-0-8176-4899-2

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