Topics in Integral and Integro-Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3030655091
Total Pages : 255 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Topics in Integral and Integro-Differential Equations by : Harendra Singh

Download or read book Topics in Integral and Integro-Differential Equations written by Harendra Singh and published by Springer Nature. This book was released on 2021-04-16 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations

Partial Integral Operators and Integro-Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780824703967
Total Pages : 582 pages
Book Rating : 4.7/5 (39 download)

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Book Synopsis Partial Integral Operators and Integro-Differential Equations by : Jurgen Appell

Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linear and nonlinear equations is discussed. Topics range from abstract functional-analytic approaches to specific uses in continuum mechanics and engineering.

Exercises of Integrals and Integro-Differentials Equations

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Author :
Publisher : Simone Malacrida
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.2/5 (22 download)

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Book Synopsis Exercises of Integrals and Integro-Differentials Equations by : Simone Malacrida

Download or read book Exercises of Integrals and Integro-Differentials Equations written by Simone Malacrida and published by Simone Malacrida. This book was released on 2022-12-19 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, exercises are carried out regarding the following mathematical topics: solving integral equations solving integral-differential equations calculus of variations Initial theoretical hints are also presented to make the conduct of the exercises understandable.

Theory of Functionals and of Integral and Integro-differential Equations

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Publisher :
ISBN 13 :
Total Pages : 223 pages
Book Rating : 4.:/5 (912 download)

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Book Synopsis Theory of Functionals and of Integral and Integro-differential Equations by : Vito Volterra

Download or read book Theory of Functionals and of Integral and Integro-differential Equations written by Vito Volterra and published by . This book was released on 1944 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Equations and Their Applications

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Publisher : WIT Press
ISBN 13 : 1845641019
Total Pages : 385 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Integral Equations and Their Applications by : Matiur Rahman

Download or read book Integral Equations and Their Applications written by Matiur Rahman and published by WIT Press. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.

Theory of Functionals and of Integral and Integro-differential Equations

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Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory of Functionals and of Integral and Integro-differential Equations by : Vito Volterra

Download or read book Theory of Functionals and of Integral and Integro-differential Equations written by Vito Volterra and published by . This book was released on 1959 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Volterra Integral and Differential Equations

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Publisher : Academic Press
ISBN 13 : 0080956734
Total Pages : 312 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Volterra Integral and Differential Equations by : Burton

Download or read book Volterra Integral and Differential Equations written by Burton and published by Academic Press. This book was released on 1983-11-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volterra Integral and Differential Equations

A First Course In Integral Equations

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813105089
Total Pages : 224 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis A First Course In Integral Equations by : Abdul-majid Wazwaz

Download or read book A First Course In Integral Equations written by Abdul-majid Wazwaz and published by World Scientific Publishing Company. This book was released on 1997-12-16 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the subject of integral equations in an accessible manner for a variety of applications. Emphasis is placed on understanding the subject while avoiding the abstract and compact theorems. A distinctive feature of the book is that it introduces the recent powerful and reliable developments in this field, which are not covered in traditional texts. The newly developed decomposition method, the series solution method and the direct computation method are thoroughly implemented, which allows the topic to be far more accessible. The book also includes some of the traditional techniques for comparison.Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models. Many examples are given to introduce the material in a clear and thorough fashion. In addition, many exercises are provided to build confidence, ease and skill in using the new methods.This book may be used as a text for advanced undergraduates and graduate students in mathematics and scientific areas, and as a work of reference for research study of differential equations and numerical analysis.

Linear and Nonlinear Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642214495
Total Pages : 639 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Linear and Nonlinear Integral Equations by : Abdul-Majid Wazwaz

Download or read book Linear and Nonlinear Integral Equations written by Abdul-Majid Wazwaz and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.

Principles of Differential and Integral Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846221
Total Pages : 205 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Principles of Differential and Integral Equations by : C. Corduneanu

Download or read book Principles of Differential and Integral Equations written by C. Corduneanu and published by American Mathematical Soc.. This book was released on 2008-05-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functionals and Their Applications

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Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (327 download)

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Book Synopsis Functionals and Their Applications by : Griffith Conrad Evans

Download or read book Functionals and Their Applications written by Griffith Conrad Evans and published by . This book was released on 1918 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods for Integral Equations

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Publisher : CUP Archive
ISBN 13 : 9780521357968
Total Pages : 392 pages
Book Rating : 4.3/5 (579 download)

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Book Synopsis Computational Methods for Integral Equations by : L. M. Delves

Download or read book Computational Methods for Integral Equations written by L. M. Delves and published by CUP Archive. This book was released on 1985 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a readable account of techniques for numerical solutions.

Existence Theory for Nonlinear Integral and Integrodifferential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401149925
Total Pages : 230 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Existence Theory for Nonlinear Integral and Integrodifferential Equations by : Donal O'Regan

Download or read book Existence Theory for Nonlinear Integral and Integrodifferential Equations written by Donal O'Regan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of integral and integrodifferential equations has ad vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 'Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte gral and integrodifferential equations on compact and half-open intervals, while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.

Integral Methods in Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682384
Total Pages : 429 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda

Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. Accordingly, the solutions of these equations are of great interest to practitioners and to science in general. Presenting a wealth of cutting-edge research by a diverse group of experts in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects gives a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. This book will be valuable for researchers in applied mathematics, physics, and mechanical and electrical engineering. It will likewise be a useful study guide for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work.

Integral Methods in Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644504
Total Pages : 311 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integral Methods in Science and Engineering by : M. Zuhair Nashed

Download or read book Integral Methods in Science and Engineering written by M. Zuhair Nashed and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.

Integral Methods in Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646701
Total Pages : 301 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda

Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by Springer Science & Business Media. This book was released on 2008 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level.

Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521806152
Total Pages : 620 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner

Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description