
eBook - ePub
Existence Theorems for Ordinary Differential Equations
- 176 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Existence Theorems for Ordinary Differential Equations
About this book
Theorems stating the existence of an object—such as the solution to a problem or equation—are known as existence theorems. This text examines fundamental and general existence theorems, along with the Picard iterants, and applies them to properties of solutions and linear differential equations.
The authors assume a basic knowledge of real function theory, and for certain specialized results, of elementary functions of a complex variable. They do not consider the elementary methods for solving certain special differential equations, nor advanced specialized topics; within these restrictions, they obtain a logically coherent discussion for students at a specific phase of their mathematical development. The treatment begins with a survey of fundamental existence theorems and advances to general existence and uniqueness theorems. Subsequent chapters explore the Picard iterants, properties of solutions, and linear differential equations.
The authors assume a basic knowledge of real function theory, and for certain specialized results, of elementary functions of a complex variable. They do not consider the elementary methods for solving certain special differential equations, nor advanced specialized topics; within these restrictions, they obtain a logically coherent discussion for students at a specific phase of their mathematical development. The treatment begins with a survey of fundamental existence theorems and advances to general existence and uniqueness theorems. Subsequent chapters explore the Picard iterants, properties of solutions, and linear differential equations.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Existence Theorems for Ordinary Differential Equations by Francis J. Murray,Kenneth S. Miller in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Introduction
- Chapter 1. The Fundamental Existence Theoremg
- Chapter 2. General Existence Theorems
- Chapter 3. Uniqueness Theorems
- Chapter 4. The Picard Iterants
- Chapter 5. Properties of Solutions
- Chapter 6. Linear Differential Equations
- Index