Volterra Integral and Differential Equations

Volume 202

By: Ted A. Burton

Write A Review

Hardcover | 1 May 2005 | Edition Number 2

At a Glance

Hardcover
368 Pages

Edition Type
Revised

Dimensions(cm)
23.72 x 15.6 x 1.96

Hardcover

$655.90

or 4 interest-free payments of $163.97 with

Aims to ship in 10 to 15 business days

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.

Key Features:

- 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.

1. Smooth transition from ordinary differential equations to integral and functional differential equations.
2. Unification of the theories, methods, and applications of ordinary and functional differential equations.
3. Large collection of examples of Liapunov functions.
4. Description of the history of stability theory leading up to unsolved problems.
5. Applications of the resolvent to stability and periodic problems.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Applied Mathematics Integral Calculus & Equations

Preface
Preface to the second edition
Introduction and Overview
The General Problems
Linear Equations
Existence Properties
History, Examples and Motivation
Instability, Stability and Perturbations
Stability and Boundedness
The Resolvent
Functional Differential Equations
References
Author Index
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

Volterra Integral and Differential Equations

Volume 202

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Differential Calculus & Equations

Partial Differential Equations

2nd Edition - An Introduction, Student Solutions Manual

Fundamentals of Differential Equations, Global Edition

9th Edition

Fractional Differential Equations

Numerical Methods for Applications

Four Open Questions for the N-Body Problem

Choquet Integrals and Monotone Sublinear Operators

Frontiers in Mathematics

Recent Stability Issues for Linear Dynamical Systems

Cetraro, Italy 2021

The Duffing Equation

Periodic Solutions and Chaotic Dynamics

Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns

Selected Proceedings of the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems - 2023 (ISMAFDS-2023)

Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems

Elementary Differential Equations and Boundary Value Problems

LEC NOTE MATH OLYM

JNR SEC (V2)

Schaum's Outline of Differential Equations

5th edition

Geometric and Analytic Aspects of Functional Variational Principles

Cetraro, Italy 2022

Prandtl Equations and Related Boundary Layer Equations

Weighted Morrey Spaces

Calderon-Zygmund Theory and Boundary Problems

Difference Equations and Applications

Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

Frontiers in Mathematics

A Course in Ordinary Differential Equations

Nonlinear Optimal Control Theory

Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Encounters with Chaos and Fractals

Textbooks in Mathematics

Mathematical Modelling with Case Studies

Using Maple and Matlab, Third Edition

Integral Transforms and Their Applications

Differential Equations

Theory, Technique and Practice with Boundary Value Problems

Advanced Mathematical Methods in Science and Engineering

This product is categorised by