幫助中心 | 我的帳號 | 關於我們

常微分方程(影印版)(英文版)

  • 作者:(德)W.沃爾特
  • 出版社:世界圖書出版公司
  • ISBN:9787519255831
  • 出版日期:2019/03/01
  • 裝幀:平裝
  • 頁數:380
人民幣:RMB 99 元      售價:
放入購物車
加入收藏夾

內容大鋼
    本書是在1996年第六版《常微分方程》(德文)一書的基礎上編寫而成的。本書主要介紹了常微分方程的基礎理論,內容包括:可積一階微分方程,微分方程解的存在性和唯一性,微分方程的初極值問題,邊值問題和特徵值問題,穩定性與漸進穩定性理論。此外,本書還增加了在一般相關教材中很少涉及但具有一定難度的內容,並對一些複雜基本定理給出了新的證明。閱讀本書須具備一定的計算代數、線性代數及泛函分析的基礎知識。

作者介紹
(德)W.沃爾特

目錄
Preface
Note to the Reader
Introduction
Chapter I. First Order Equations: Some Integrable Cases
  1. Explicit First Order Equations
  2. The Linear Differential Equation. Related Equations
  Supplement: The Generalized Logistic Equation
  3. Differential Equations for Families of Curves. Exact Equations
  4. Implicit First Order Differential Equations
Chapter II: Theory of First Order Differential Equations
  5. Tools from Functional Analysis
  6. An Existence and Uniqueness Theorem
  Supplement: Singular Initial Value Problems
  7. The Peano Existence Theorem
  Supplement: Methods of Functional Analysis
  8. Complex Differential Equations. Power Series Expansions
  9. Upper and Lower Solutions. Maximal and Minimal Integrals
  Supplement: The Separatrix
Chapter III: First Order Systems. Equations of Higher Order
  10. The Initial Value Problem for a System of First Order
  Supplement I: Differential Inequalities and Invariance
  Supplement II: Differential Equations in the Senseof Caratheodory
  11. Initial Value Problems for Equations of Higher Order
  Supplement: Second Order Differential Inequalities
  12. Continuous Dependence of Solutions
  Supplement: General Uniqueness and Dependence Theorems
  13. Dependence of Sohltions on Initial Values and Parameters
Chapter IV: Linear Differential Equations
  14. Linear Systems
  15. Homogeneous Linear Systems
  16. Inhomogeneous Systems
  Supplement: L1-Estimation of C-Solutions
  17. Systems with Constant Coefficients
  18. Matrix Functions. Inhomogeneous Systems
  Supplement: Floquet Theory
  19. Linear Differential Equations of Order n
  20. Linear Equations of Order n with Constant Coefficients
  Supplement: Linear Differential Equations with
  Periodic Coefficients
Chapter V: Complex Linear Systems
  21. Homogeneous Linear Systems in the Regular Case
  22. Isolated Singularities
  23. Weakly Singular Points. Equations of Fuchsian Type
  24. Series Expansion of Solutions
  25. Second Order Linear Equations
Chapter VI: Boundary Value and Eigenvalue Problems
  26. Boundary Value Problems
  Supplement I: Maximum and Minimum Principles
  Supplement II: Nonlinear Boundary Value Problems
  27. The Sturm-Liouville Eigenvalue Problem

  Supplement: Rotation-Symmetric Elliptic Problems
  28. Compact Self-Adjoint Operators in Hilbert Space
Chapter VII: Stability and Asymptotic Behavior
  29. Stability
  30. The Method of Lyapunov
Appendix
  A. Topology
  B. Real Analysis
  C. Complex Analysis
  D. Functional Analysis
Solutions and Hints for Selected Exercises
Literature
Index
Notation

  • 商品搜索:
  • | 高級搜索
首頁新手上路客服中心關於我們聯絡我們Top↑
Copyrightc 1999~2008 美商天龍國際圖書股份有限公司 臺灣分公司. All rights reserved.
營業地址:臺北市中正區重慶南路一段103號1F 105號1F-2F
讀者服務部電話:02-2381-2033 02-2381-1863 時間:週一-週五 10:00-17:00
 服務信箱:bookuu@69book.com 客戶、意見信箱:cs@69book.com
ICP證:浙B2-20060032