Functional Differential Equations and Ap
β H.-O. Peitgen, H.-O. Walther
π Library
π
1979
π Springer
π English
β¦ LIBER β¦
π
Stability by Fixed Point Theory for Functional Differential Equations
β Scribed by T. A. Burton
- Publisher
- Dover Publications
- Year
- 2013
- Tongue
- English
- Leaves
- 446
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This book is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. It contains an extensive collection of new and classical examples worked in detail and presented in an elementary manner. Most of this text relies on three principles: a complete metric space, the contraction mapping principle, and an elementary variation of parameters formula. The material is highly accessible to upper-level undergraduate students in the mathematical sciences, as well as working biologists, chemists, economists, engineers, mathematicians, physicists, and other scientists using differential equations. It also introduces many research problems that promise to remain of ongoing interest.
β¦ Table of Contents
Title Page
Copyright Page
Dedication
Preface
Chapter 0 - Introduction and Overview
Chapter 1 - Half-linear Equations
Chapter 2 - Classical Problems, Harmless Perturbations
Chapter 3 - Borrowing Coefficients
Chapter 4 - Schauderβs Theorem: A Choice
Chapter 5 - Boundedness, Periodicity, and Stability
Chapter 6 - Open Problems, Global Nonlinearities
Chapter 7 - Applebyβs Stochastic Perturbations
References
Author Index
Subject Index
β¦ Subjects
Differential Equations, General, Mathematics
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