微分方程的定性理論（全英文）簡(jiǎn)介，目錄書(shū)摘
2019-11-08 14:24
來(lái)源：京東
作者：京東
微分方程的定性理論（全英文）
暫無(wú)報價(jià)
20+評論
100%好評
內容簡(jiǎn)介: 書(shū)中主要講解了微分方程理論的基本方法，對微分方程的存在性、連續依賴(lài)性、穩定性、周期解、自治微分系統、動(dòng)力系統等基本問(wèn)題進(jìn)行詳細分析，并注重理論間的聯(lián)系?！段⒎址匠痰亩ㄐ岳碚摗坊A性強、應用廣泛，是一本適合大學(xué)高年級選修課、研究生雙語(yǔ)教學(xué)以及讀者自學(xué)的英文教科書(shū)。
作者簡(jiǎn)介: 劉和濤，教授，留美執教數十年，曾在培生教育等國際著(zhù)名、出版機構出版過(guò)多種教材，為美國多所院校采用。本教材秉承了國外先進(jìn)教學(xué)理念，并針對國內學(xué)生實(shí)際情況，尤其注、意了由淺入深的理論過(guò)渡，建立了完備的邏輯體系，語(yǔ)言地、道，是適合于雙語(yǔ)教學(xué)的優(yōu)秀教科書(shū)，亦適合學(xué)生自學(xué)。
目錄:Preface<br><br>Chapter 1 A Brief Description<br>1. Linear Differential Equations<br>2. The Need for Qualitative Analysis<br>3. Description and Terminology<br><br>Chapter 2 Existence and Uniqueness<br>1. Introduction<br>2. Existence and Uniqueness<br>3. Dependence on Initial Data and Parameters<br>4. Maximal Interval of Existence<br>5. Fixed Point Method<br><br>Chapter 3 Linear Differential Equations<br>1. Introduction<br>2. General Nonhomogeneous Linear Equations<br>3. Linear Equations with Constant Coefficients<br>4. Periodic Coefficients and Floquet Theory<br><br>Chapter 4 Autonomous Differential Equations in R2<br>1. Introduction<br>2. Linear Autonomous Equations in R2<br>3. Perturbations on Linear Equations in R2<br>4. An Application： A Simple Pendulum<br><br>Chapter 5 Stability<br>1. Introduction<br>2. Linear Differential Equations<br>3. Perturbations on Linear Equations<br>4. Liapunovs Method for Autonomous Equations<br><br>Chapter 6 Periodic Solutions<br>1. Introduction<br>2. Linear Differential Equations<br>3. Nonlinear Differential Equations<br><br>Chapter 7 Dynamical Systems<br>1. Introduction<br>2. Poincare-Bendixson Theorem in R2<br>3. Limit Cycles<br>4. An Application： Lotka-Volterra Equation<br><br>Chapter 8 Some New Equations<br>1. Introduction<br>2. Finite Delay Differential Equations<br>3. Infinite Delay Differential Equations<br>4. Integrodifferential Equations<br>5. Impulsive Differential Equations<br>6. Equations with Nonlocal Conditions<br>7. Impulsive Equations with Nonlocal Conditions<br>8. Abstract Differential Equations<br>Appendix<br>References<br>Index
京公網(wǎng)安備 11000002000088號
