Theory Of Functionals And Of Integral And Integro Differential Equations

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Theory Of Functionals And Of Integral And Integro Differential Equations
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Author : Vito Volterra
language : en
Publisher:
Release Date : 1959
Theory Of Functionals And Of Integral And Integro Differential Equations written by Vito Volterra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations categories.
Theory Of Functionals And Of Integral And Integro Differential Equations
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Author : Vito Volterra
language : en
Publisher:
Release Date : 1944
Theory Of Functionals And Of Integral And Integro Differential Equations written by Vito Volterra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1944 with categories.
Theory Of Integro Differential Equations
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Author : V. Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 1995-03-15
Theory Of Integro Differential Equations written by V. Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-15 with Mathematics categories.
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.
Existence Theory For Nonlinear Integral And Integrodifferential Equations
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Author : Donal O'Regan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Existence Theory For Nonlinear Integral And Integrodifferential Equations written by Donal O'Regan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Linear And Nonlinear Integral Equations
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Author : Abdul-Majid Wazwaz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-24
Linear And Nonlinear Integral Equations written by Abdul-Majid Wazwaz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-24 with Mathematics categories.
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.
Theory Of Functionals And Of Integral And Integro Differential Equations
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Author : Luigi Fantappiè
language : en
Publisher:
Release Date : 1930
Theory Of Functionals And Of Integral And Integro Differential Equations written by Luigi Fantappiè and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1930 with categories.
Theory Of Functionals And Of Integral And Integro Differential Equations
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Author : Vito Volterra
language : en
Publisher:
Release Date : 1931
Theory Of Functionals And Of Integral And Integro Differential Equations written by Vito Volterra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with categories.
Computational Methods For Integral Equations
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Author : L. M. Delves
language : en
Publisher: CUP Archive
Release Date : 1985
Computational Methods For Integral Equations written by L. M. Delves and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
This textbook provides a readable account of techniques for numerical solutions.
Theory Of Functionals And Of Integral And Integro Differential Equations Ed By Luigi Fantappi Authorized Transl By M Long
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Author : Vito Volterra
language : en
Publisher:
Release Date : 1931
Theory Of Functionals And Of Integral And Integro Differential Equations Ed By Luigi Fantappi Authorized Transl By M Long written by Vito Volterra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with categories.
Volterra Integral And Differential Equations
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Author : Ted A. Burton
language : en
Publisher: Elsevier
Release Date : 2005-04-01
Volterra Integral And Differential Equations written by Ted A. Burton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-01 with Mathematics categories.
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated. - Smooth transition from ordinary differential equations to integral and functional differential equations - Unification of the theories, methods, and applications of ordinary and functional differential equations - Large collection of examples of Liapunov functions - Description of the history of stability theory leading up to unsolved problems - Applications of the resolvent to stability and periodic problems