Advances In Dual Integral Equations

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Advances In Dual Integral Equations

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Author : B N Mandal
language : en
Publisher: CRC Press
Release Date : 1998-12-18

Advances In Dual Integral Equations written by B N Mandal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-18 with Mathematics categories.

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.

Advances In Dual Integral Equations

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Author : B.N. Mandal
language : en
Publisher: Routledge
Release Date : 2022-01-27

Advances In Dual Integral Equations written by B.N. Mandal and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.

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.

Recent Advances In Integral Equations

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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-07-24

Recent Advances In Integral Equations written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Computers categories.

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.

The Elementary Solution Of Some Dual Integral Equations

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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1959

The Elementary Solution Of Some Dual Integral Equations written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Integral equations categories.

Integral Equations

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Author : F. G. Tricomi
language : en
Publisher: Courier Corporation
Release Date : 2012-04-27

Integral Equations written by F. G. Tricomi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-27 with Mathematics categories.

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.

Certain Dual Integral Equations And Sonine S Integrals

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Author : Arthur Sylvester Peters
language : en
Publisher:
Release Date : 1961

Certain Dual Integral Equations And Sonine S Integrals written by Arthur Sylvester Peters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Integral equations categories.

Advances In Differential And Integral Equations

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Author : John A. Nohel
language : en
Publisher:
Release Date : 1969

Advances In Differential And Integral Equations written by John A. Nohel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.

Principles Of Differential And Integral Equations

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Author : C. Corduneanu
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-05-09

Principles Of Differential And Integral Equations written by C. Corduneanu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-09 with Mathematics categories.

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.

Techniques Of Functional Analysis For Differential And Integral Equations

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Author : Paul Sacks
language : en
Publisher: Academic Press
Release Date : 2017-05-16

Techniques Of Functional Analysis For Differential And Integral Equations written by Paul Sacks and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-16 with Mathematics categories.

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

Certain Dual Integral Equations And Sonine S Integrals

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Author : A. S. Peters
language : en
Publisher:
Release Date : 1961

Certain Dual Integral Equations And Sonine S Integrals written by A. S. Peters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Integral equations categories.

Consideration is given to the solution of simultaneous equatio s c ll du l i egral quations. A method based on the use of Sonine's discontinuous i grals i developed. A system of dual integral equ tions is solved by the syst m ic pplica ion of onine integr l, and a more general formula is found. The m thod i t n shown to be applicable for solving the more general dual equations.