Integral Methods in Science and Engineering, Volume 1 Analytic Methods /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Constanda, Christian. (Editor), Přez, M.E. (Editor)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Subjects: Mathematics.; Integral equations.; Differential Equations.; Differential equations, partial.; Mathematical physics.; Engineering mathematics.; Mechanical engineering.; Integral Equations.; Appl.Mathematics/Computational Methods of Engineering.; Ordinary Differential Equations.; Partial Differential Equations.; Mechanical Engineering.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4899-2

Mathematical models<U+0014>including those based on ordinary, partial differential, integral, and integro-differential equations<U+0014>are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for pr...

Table of Contents:

• Preface
• List of Contributors
• Homogenization of the Integro-Differential Burgers Equation
• Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain
• Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems
• Two-Operator Boundary-Domain Integral Equations for a Variable-Coefficient BVP
• Solutions of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity
• The Bottom of the Spectrum in a Double-Contrast Periodic Model
• Fredholm Characterization of Weiner<U+0013>Hopf<U+0013>Hankel Integral Operators with Piecewise Almost Periodic Symbols
• Fractal Relaxed Problems in Elasticity
• Hyers<U+0013>Ulam and Hyers<U+0013>Ulam<U+0013>Rassias Stability of Volterra Integral Equations with Delay
• Fredholm Index Formula for a Class of Matrix Weiner<U+0013>Hopf Plus and Minus Hankel Operators with Symmetry
• Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations
• Contact Problems in Bending of Thermoelastic Plates
• On Burnett Coefficients in Periodic Media with Two Phases
• On Regular and Singular Perturbations of the Eigenelements of the Laplacian
• High-Frequency Vibrations of Systems with Concentrated Masses Along Planes
• On J. Ball<U+0019>s Fundamental Existence Theory and Weak Equilibria in Nonlinear Radial Hyperelasticity
• The Conformal Mapping Method for the Helmholtz Equation
• 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
• 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
• On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems
• Asymptotic Analysis of Spectral Problems in Thick Multi-Level Junctions
• Integral Approach to Sensitive Singular Perturbations
• Regularity of the Green Potential for the Laplacian with Robin Boundary Condition
• On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains
• Propagation of Waves in Networks of Thin Fibers
• Homogenization of a Convection-Diffusion Equation in a Thin Rod Structure
• Existence of Extremal Solutions of Singular Functional Cauchy and Cauchy<U+0013>Nicoletti Problems
• Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone
• Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations
• Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics
• Regularization of Divergent Integrals in Boundary Integral Equations for Elastostatics.