Advances In Dual Integral Equations

Author : B N Mandal,Nanigopal Mandal
Publisher : CRC Press
Page : 236 pages
File Size : 50,9 Mb
Release : 1998-12-18
Category : Mathematics
ISBN : 0849306175

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Advances in Dual Integral Equations by B N Mandal,Nanigopal Mandal Pdf

The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel.

Author : B.N. Mandal,Nanigopal Mandal
Publisher : Routledge
Page : 232 pages
File Size : 46,9 Mb
Release : 2022-01-27
Category : Mathematics
ISBN : 9781351468350

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Advances in Dual Integral Equations by B.N. Mandal,Nanigopal Mandal Pdf

The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel.

Author : Ian Naismith Sneddon
Publisher : Unknown
Page : 12 pages
File Size : 41,5 Mb
Release : 1959
Category : Integral equations
ISBN : UOM:39015095250174

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The Elementary Solution of Some Dual Integral Equations by Ian Naismith Sneddon Pdf

Author : Francisco Bulnes
Publisher : BoD – Books on Demand
Page : 102 pages
File Size : 43,9 Mb
Release : 2019-07-24
Category : Computers
ISBN : 9781838806583

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Recent Advances in Integral Equations by Francisco Bulnes Pdf

Integral equations are functional equations in which an unknown function appears under an integral sign. This can involve aspects of function theory and their integral transforms when the unknown function appears with a functional non-degenerated kernel under the integral sign. The close relation between differential and integral equations does that in some functional analysis, and function theory problems may be formulated either way. This book establishes the fundamentals of integral equations and considers some deep research aspects on integral equations of first and second kind, operator theory applied to integral equations, methods to solve some nonlinear integral equations, and singular integral equations, among other things. This is the first volume on this theme, hoping that other volumes of this important functional analysis theme and operator theory to formal functional equations will be realized in the future.

Author : John A. Nohel
Publisher : Unknown
Page : 232 pages
File Size : 55,5 Mb
Release : 1969
Category : Mathematics
ISBN : UCAL:$B17663

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Advances in Differential and Integral Equations by John A. Nohel Pdf

Author : Arthur Sylvester Peters
Publisher : Unknown
Page : 41 pages
File Size : 40,6 Mb
Release : 1961
Category : Integral equations
ISBN : OCLC:10311611

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Certain Dual Integral Equations and Sonine's Integrals by Arthur Sylvester Peters Pdf

Author : F. G. Tricomi
Publisher : Courier Corporation
Page : 256 pages
File Size : 47,6 Mb
Release : 2012-04-27
Category : Mathematics
ISBN : 9780486158303

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Integral Equations by F. G. Tricomi Pdf

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

Author : C. Corduneanu
Publisher : American Mathematical Soc.
Page : 205 pages
File Size : 44,6 Mb
Release : 2008-05-09
Category : Mathematics
ISBN : 9780821846223

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Principles of Differential and Integral Equations by C. Corduneanu Pdf

In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.

Author : Christian Constanda,Andreas Kirsch
Publisher : Birkhäuser
Page : 717 pages
File Size : 48,6 Mb
Release : 2015-10-13
Category : Mathematics
ISBN : 9783319167275

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Integral Methods in Science and Engineering by Christian Constanda,Andreas Kirsch Pdf

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and Engineering, held July 21–25, 2014, in Karlsruhe, Germany. A broad range of topics is addressed, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

Author : Heinrich G W Begehr,Robert Pertsch Gilbert,Man-wah Wong,Martin E Muldoon
Publisher : World Scientific
Page : 572 pages
File Size : 47,5 Mb
Release : 2005-07-04
Category : Mathematics
ISBN : 9789814479905

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Advances In Analysis - Proceedings Of The 4th International Isaac Congress by Heinrich G W Begehr,Robert Pertsch Gilbert,Man-wah Wong,Martin E Muldoon Pdf

This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas — not given special emphasis in previous meetings — include special functions and orthogonal polynomials, harmonic analysis, and partial differential equations.

Author : W.G. Knauss,R.A. Schapery
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 52,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401728546

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Recent Advances in Fracture Mechanics by W.G. Knauss,R.A. Schapery Pdf

The papers in this volume represent a considerable cross-section of the field of fracture mechanics, a testimony to the breadth of interest that Mel and Max Williams' friends share with them. Several are expanded versions of papers that were given in special sessions honoring them at the 1997 Ninth International Conference on Fracture Mechanics in Sydney, Australia. The subjects treated in this volume can be classified as follows: dynamic fracture problems as viewed primarily from a classical continuum point of view; analysis of relatively general crack geometrics; fracture problems of polymers and other relatively ductile materials; scaling rules that allow extension of results obtained at one size to be translated into behavior at different size scales; problems dealing with interactions that produce complex stress fields; fracture problems directly appropriate to composite materials; analysis of stress concentrations in anisotropic, elastic solids; and the problem of cracks in thin plates bending. This volume will be of interest to engineers and scientists working on all aspects of the physics and mechanics of fracture.

Author : Dean G. Duffy
Publisher : CRC Press
Page : 1005 pages
File Size : 44,8 Mb
Release : 2016-12-12
Category : Mathematics
ISBN : 9781498739672

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Advanced Engineering Mathematics with MATLAB by Dean G. Duffy Pdf

Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today’s STEM (science, technology, engineering, and mathematics) student. Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional disciplines of ordinary and partial differential equations, vector calculus and linear algebra. (2) The modern student must have a strong foundation in transform methods because they provide the mathematical basis for electrical and communication studies. (3) The biological revolution requires an understanding of stochastic (random) processes. The chapter on Complex Variables, positioned as the first chapter in previous editions, is now moved to Chapter 10. The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. Along with several updates and changes from the third edition, the text continues to evolve to meet the needs of today’s instructors and students. Features: Complex Variables, formerly Chapter 1, is now Chapter 10. A new Chapter 18: Itô’s Stochastic Calculus. Implements numerical methods using MATLAB, updated and expanded Takes into account the increasing use of probabilistic methods in engineering and the physical sciences Includes many updated examples, exercises, and projects drawn from the scientific and engineering literature Draws on the author’s many years of experience as a practitioner and instructor Gives answers to odd-numbered problems in the back of the book Offers downloadable MATLAB code at www.crcpress.com

Author : Sudhakar Nair
Publisher : Cambridge University Press
Page : 233 pages
File Size : 48,9 Mb
Release : 2011-03-07
Category : Technology & Engineering
ISBN : 9781139499286

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Advanced Topics in Applied Mathematics by Sudhakar Nair Pdf

This book is ideal for engineering, physical science and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, integral equations, Fourier transforms and Laplace transforms. Also included is a useful discussion of topics such as the Wiener–Hopf method, finite Hilbert transforms, the Cagniard–De Hoop method and the proper orthogonal decomposition. This book reflects Sudhakar Nair's long classroom experience and includes numerous examples of differential and integral equations from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.

Author : B.G. Pachpatte
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 44,8 Mb
Release : 2011-07-26
Category : Mathematics
ISBN : 9789491216176

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Multidimensional Integral Equations and Inequalities by B.G. Pachpatte Pdf

Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

Author : Andrea Prosperetti
Publisher : Cambridge University Press
Page : 743 pages
File Size : 41,8 Mb
Release : 2011-01-06
Category : Mathematics
ISBN : 9781139492683

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Advanced Mathematics for Applications by Andrea Prosperetti Pdf

The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.