Integral Equations, Boundary Value Problems And Related Problems

by Xing Li (Editor)

Overview

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.

Product Details

ISBN-13:	9789814452878
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	05/06/2013
Pages:	300
Product dimensions:	5.80(w) x 9.10(h) x 0.70(d)

Table of Contents

Preface v

Organizing Committees vii

Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis L.P. Wang Z.L. Xu Y.Y. Qiao 1

Some Results Related with Möbius Transformation in Clifford Analysis Z.X. Zhang 11

The Scattering of SH Wave on the Array, of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials J.Q. Liu X. Li S.Z. Dong X.Y. Yao C.F. Wang 19

Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating Substrate Structure S.H. Ding X. Li 34

A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis L.F. Gu 49

A New Dynamical Systems Method for Nonlinear Operator Equations X.J. Luo F.C. Li S.H. Yang 59

A Class of Integral Inequality and Application W.S. Wang 67

An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems W.S. Wang B. W. Zhang 75

High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane H.M. Huang 86

An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations Z.L. Xu L. Yan 93

Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces H.P. Huang X. Li 104

Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems B.Q. Yan X. Liu 115

Modified Neumann Integral and Asymptotic Behavior in the Half Space Y.H. Zhang G.T. Deng Z.Z. Wei 130

Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography J. Cheng Y. Jiang K. Lin J. W. Yan 140

About the Quaternionic Jacobian Conjecture H. Liu 153

Interaction between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials L.H. Chang X. Li 162

Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials M.B. Ge J.X Cheng D.H. Xu 170

Haversian Cortical Bone with a Radial Microcrack X. Wang 184

Spectra of Unitary integral Operators on L²(R) with Kernels k(xy) D. W. Ma G. Chen 195

The Numerical Simulation of Long-Period Ground Motion on Basin Effects Y.Q. Li X. Li 211

Complete Plane Strain Problem of a One-Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks X. Li P.P. Shi 224

The Problem about an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals H.S. Huo X. Li 235

The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasicrystals J. Y. Cui P.P. Shi X. Li 246

The Optimal Convex Combination Bounds for the Centroidal Mean H. Liu X.J. Meng 258

The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique L.N. Wu Q. Jiang 263

Various Wavelet Methods for Solving fractional Fredholm-Volterra Integral Equations P.P. Shi X. Li X. Li 275