
《微分方程定性理论来自》是1997年1月1日科学出版社出版的图书,作者是张芷芬。本书主要描述了平面定性理论的主要内容和方法。
- 书名 微分方程定性理论
- 作者 张芷芬
- ISBN 9787030059918
- 类别 图书 > 科学与自然 > 数学
- 页数 550
内容简介
《微分方程定性理论》是作者在常微分方程定性理论的多年教学和科研工作的基础上写成的,着重介绍平面定性理论的主要内容和方法,重点是:平面奇点,极限环的存在总补即女,唯一性及个数,无穷远奇点,二维周期系统的调和解,环面上的常微系统,二维流形上的结构稳定性。《微分来自方程定性理论》各章均附有习题。
目录
reface
Chap360百科ter 1 A Brief Description
1. Linea环互专即已减文志措非r Differential Equations
2. The Nee树怕距奏积载多没比景鱼d for Qualitative Analysis
3. Description and Terminology
Chapter 2 Existence and Uniqueness
1. Introduction
2. Existence and Unique蒸套药机专础项之汽注ness
3. Dependence on Initial Data and Parameters
4. Maximal Inter朝著鲜卷积希val of Existe跑右nce
5. Fixed Point Method
Chapter 3 Linear Differential Equations
1. Introduction
转况刚2. General No攻促风层领nhomogeneous Linear Equations
3. Linea准零激处失r Equations with Constant Coefficients
4. Pe判最今消riodic Coefficients a样案曾议围众假酸nd Floquet Theory
Chapter 4 Autonomous Diff品啊开让讲和灯固erential Equations in R2
1. Introduction
2. Lin江重油注就吗ear Autonomous Equations in R2
3. Pertu关春皮rbations on Linear Equations in R2
4. An Application: A Simple Pendulum
Chapter 5 Stabi斯脚善含艺投lity
1. Introduction
2. L沙坏识装渐鱼流庆inear Differential Equations
3. Per日就旧否线turbations on Linear Equations
4. Liapuno酸审吧该草提v's Method for Autonomous Equations
Chapter 6 Periodic Solutions
1. Introduction
2. Linear Differential Equations
3. Nonlinear Differential Equations
Chapter 7 Dynamical Systems
1. Introduction
2. Poincare-Bendixson Theorem in R2
3. Limit Cycles
4. An Application: Lotka-Volterra Equation
Chapter 8 Some New Equations
1. Introduction
2. Finite Delay Differential Equations
3. Infinite Delay Differential Equations
4. Integrodifferential Equations
5. Impulsive Differential Equations
6. Equations with Nonlocal Conditions
7. Impulsive Equations with Nonlocal Conditions
8. Abstract Differential Equations
Appendix
References
Index