eBook Integral Equations, Boundary Value Problems And Related Problems, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814452882
  • ISBN-13: 9789814452885
  • DDC: 515.4
  • Grade Level Range: College Freshman - College Senior
  • 300 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013
  • Price:  Sign in for price



In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Other Frontmatter.
1: Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis*.
2: Some Results Related with Möbius Transformation in Clifford Analysis.
3: The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials.
4: Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating-Substrate Structure.
5: A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis.
6: A New Dynamical Systems Method for Nonlinear Operator Equations*.
7: A Class of Integral Inequality and Application*.
8: An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems.
9: High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane.
10: An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations*.
11: Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces*.
12: Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems*.
13: Modified Neumann Integral and Asymptotic Behavior in the Half Space*.
14: Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography.
15: About the Quaternionic Jcaobian Conjecture.
16: Interaction between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials.
17: Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials.
18: Haversian Cortical Bone with a Radial Micro Crack.
19: Spectra of Unitary Integral Operators on L2(ℝ) with Kernels k(xy).
20: The Numerical Simulation of Long-Period Ground Motion on Basin Effects*.
21: Complete Plane Strain Problem of a One Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks*.
22: The Problem about an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals*.
23: The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasicrystals*.
24: The Optimal Convex Combination Bounds for the Centroidal Mean*.
25: The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique.
26: Various Wavelet Methods for Solving Fractional Fredholm-Volterra Integral Equations*.