[PDF] Topics In Integral And Integro Differential Equations eBook

Author : Harendra Singh
Publisher : Springer Nature
Page : 255 pages
File Size : 49,42 MB
Release : 2021-04-16
Category : Technology & Engineering
ISBN : 3030655091

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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

Author : V. Lakshmikantham
Publisher : CRC Press
Page : 376 pages
File Size : 32,69 MB
Release : 1995-03-15
Category : Mathematics
ISBN : 9782884490009

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This unique monograph investigates the theory and applications of Volterra integro-differential equations. Whilst covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications. This comprehensive work presents a unified framework to investigate the fundamental existence of theory, treats stability theory in terms of Lyapunov functions and functionals, develops the theory of integro-differential equations with impulse effects, and deals with linear evolution equations in abstract spaces. Various applications of integro-differential equations, such as population dynamics, nuclear reactors, viscoelasticity, wave propagation and engineering systems, are discussed, making this book indispensable for mathematicians and engineers alike.

Author : Donal O'Regan
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 14,31 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401149925

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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.

Author : Jurgen Appell
Publisher : CRC Press
Page : 582 pages
File Size : 40,60 MB
Release : 2000-02-29
Category : Mathematics
ISBN : 9780824703967

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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.

Author : Vito Volterra
Publisher : Courier Dover Publications
Page : 0 pages
File Size : 32,32 MB
Release : 2005
Category : Differential equations
ISBN : 9780486442846

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A classic work by the mathematician who developed the general theory of functions that depend on a continuous set of values of another function, this volume deals primarily with integral equations.

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 339 pages
File Size : 40,82 MB
Release : 2000-03-09
Category : Mathematics
ISBN : 1482287463

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This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

Author : Simone Malacrida
Publisher : Simone Malacrida
Page : 64 pages
File Size : 47,80 MB
Release : 2022-12-19
Category : Mathematics
ISBN :

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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.

Author : Matiur Rahman
Publisher : WIT Press
Page : 385 pages
File Size : 26,2 MB
Release : 2007
Category : Mathematics
ISBN : 1845641019

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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.

Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 34,49 MB
Release : 2011-11-24
Category : Mathematics
ISBN : 3642214495

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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.