Integral Equations Boundary Value Problems And Related Problems

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Integral Equations, Boundary Value Problems and Related Problems

Author : Xing Li
Publisher : World Scientific
Page : 300 pages
File Size : 43,5 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9789814452892

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Integral Equations, Boundary Value Problems and Related Problems by Xing Li Pdf

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. Contents:Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis (L P Wang, Z L Xu and Y Y Qiao)Some Results Related with Möbius Transformation in Clifford Analysis (Z X Zhang)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 and C F Wang)Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating–Substrate Structure (S H Ding and X Li)A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis (L F Gu)A New Dynamical Systems Method for Nonlinear Operator Equations (X J Luo, F C Li and S H Yang)A Class of Integral Inequality and Application (W S Wang)An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems (W S Wang and B W Zhang)High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane (H M Huang)An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations (Z L Xu and L Yan)Fixed Point Theorems of Contractive Mappings in Extended Cone Metric Spaces (H P Huang and X Li)Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems (B Q Yan and X Liu)Modified Neumann Integral and Asymptotic Behavior in the Half-Space (Y H Zhang, G T Deng and Z Z Wei)Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography (J Cheng, Y Jiang, K Lin and J W Yan)About the Quaternionic Jacobian Conjecture (H Liu)Interaction Between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials (L H Chang and X Li)Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials (M B Ge, J X Cheng and D H Xu)Haversian Cortical Bone with a Radial Microcrack (X Wang)Spectra of Unitary Integral Operators on L2(ℝ) with Kernels k(xy) (D W Ma and G Chen)The Numerical Simulation of Long-Period Ground Motion on Basin Effects (Y Q Li and X Li)Complete Plane Strain Problem of a One-Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks (X Li and P P Shi)The Problem About an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals (H S Huo and X Li)The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasicrystals (J Y Cui, P P Shi and X Li)The Optimal Convex Combination Bounds for the Centroidal Mean (H Liu and X J Meng)The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique (L N Wu and Q Jiang)Various Wavelet Methods for Solving Fractional Fredholm–Volterra Integral Equations (P P Shi, X Li and X Li) Readership: Researchers in analysis and differential equations. Keywords:Integral Equations;Boundary Value ProblemsKey Features:Provides new research progress on these topics

Integratal Equation & Boundary Value Problem

Author : M.D.Raisinghania
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 51,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9788121928052

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Integratal Equation & Boundary Value Problem by M.D.Raisinghania Pdf

Strictly according to the latest syllabus of U.G.C.for Degree level students and for various engineering and professional examinations such as GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.

Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference

Author : Guo Chun Wen,Jian-ke Lu
Publisher : World Scientific
Page : 338 pages
File Size : 43,8 Mb
Release : 2000-02-22
Category : Science
ISBN : 9789814543118

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Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference by Guo Chun Wen,Jian-ke Lu Pdf

In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

Integral Equations and Boundary Value Problems

Author : MD Raisinghania
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 51,6 Mb
Release : 2024-06-07
Category : Electronic
ISBN : 9789352838950

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Integral Equations and Boundary Value Problems by MD Raisinghania Pdf

The tenth edition of Integral Equations and Boundary Value Problems continues to offer an in-depth presentation of integral equations for the solution of boundary value problems. The book provides a plethora of examples and step-by-step presentation of definitions, proofs of the standard results and theorems which enhance students' problem-solving skills. Solved examples and numerous problems with hints and answers have been carefully chosen, classified in various types and methods, and presented to illustrate the concepts discussed. With the author's vast experience of teaching mathematics, his approach of providing a one-stop solution to the students' problems is engaging which goes a long way for the reader to retain the knowledge gained.

Boundary Value Problems, Integral Equations and Related Problems

Author : Guo Chun Wen
Publisher : World Scientific
Page : 436 pages
File Size : 42,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814327862

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Boundary Value Problems, Integral Equations and Related Problems by Guo Chun Wen Pdf

In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral 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, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, and others.

Boundary Value Problems

Author : F. D. Gakhov
Publisher : Courier Corporation
Page : 596 pages
File Size : 42,6 Mb
Release : 1990-01-01
Category : Mathematics
ISBN : 0486662756

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Boundary Value Problems by F. D. Gakhov Pdf

A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.

Integral Equations And Boundary Value Problems - Proceedings Of The International Conference

Author : Guo Chun Wen,Zhen Zhao
Publisher : #N/A
Page : 304 pages
File Size : 51,6 Mb
Release : 1991-03-15
Category : Electronic
ISBN : 9789814569538

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Integral Equations And Boundary Value Problems - Proceedings Of The International Conference by Guo Chun Wen,Zhen Zhao Pdf

The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

Singular Integral Equations

Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400999947

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Singular Integral Equations by N.I. Muskhelishvili Pdf

In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration.

Boundary Value Problems and Integral Equations in Nonsmooth Domains

Author : Martin Costabel,Monique Dauge,Serge Nicaise
Publisher : CRC Press
Page : 320 pages
File Size : 45,9 Mb
Release : 1994-10-25
Category : Mathematics
ISBN : 082479320X

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Boundary Value Problems and Integral Equations in Nonsmooth Domains by Martin Costabel,Monique Dauge,Serge Nicaise Pdf

Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined.

Boundary Value Problems of Mathematical Physics

Author : Ivar Stakgold
Publisher : SIAM
Page : 1156 pages
File Size : 50,5 Mb
Release : 2000-06-30
Category : Science
ISBN : 9780898714562

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Boundary Value Problems of Mathematical Physics by Ivar Stakgold Pdf

For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

Singular Integral Equations

Author : N. I. Muskhelishvili
Publisher : Courier Corporation
Page : 466 pages
File Size : 48,5 Mb
Release : 2013-02-19
Category : Mathematics
ISBN : 9780486145068

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Singular Integral Equations by N. I. Muskhelishvili Pdf

DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div

Partial Differential and Integral Equations

Author : Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 51,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461332763

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Partial Differential and Integral Equations by Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo Pdf

This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Boundary Value Problems For Second Order Elliptic Equations

Author : A.V. Bitsadze
Publisher : Elsevier
Page : 211 pages
File Size : 52,5 Mb
Release : 2012-12-02
Category : Mathematics
ISBN : 9780323162265

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Boundary Value Problems For Second Order Elliptic Equations by A.V. Bitsadze Pdf

Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

Singular Integral Equations

Author : Nikolaĭ Ivanovich Muskhelishvili
Publisher : Courier Dover Publications
Page : 468 pages
File Size : 44,8 Mb
Release : 1992
Category : Boundary value problems
ISBN : CORNELL:31924063601334

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Singular Integral Equations by Nikolaĭ Ivanovich Muskhelishvili Pdf

High-level treatment covers one-dimensional singular integral equations involving Cauchy principal values; coverage includes Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, inversion formulae for arcs, and much more. For graduate students, engineers, mathematicians, physicists, more. 1953 edition. Introduction.