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2019-11-08 14:24 來源：京東作者：京東

內容簡介: 書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(xù)依賴性、穩(wěn)定性、周期解、自治微分系統(tǒng)、動力系統(tǒng)等基本問題進行詳細分析，并注重理論間的聯(lián)系。《微分方程的定性理論》基礎性強、應用廣泛，是一本適合大學高年級選修課、研究生雙語教學以及讀者自學的英文教科書。

作者簡介: 劉和濤，教授，留美執(zhí)教數十年，曾在培生教育等國際著名、出版機構出版過多種教材，為美國多所院校采用。本教材秉承了國外先進教學理念，并針對國內學生實際情況，尤其注、意了由淺入深的理論過渡，建立了完備的邏輯體系，語言地、道，是適合于雙語教學的優(yōu)秀教科書，亦適合學生自學。

目錄:Preface Chapter 1 A Brief Description 1. Linear Differential Equations 2. The Need for Qualitative Analysis 3. Description and Terminology Chapter 2 Existence and Uniqueness 1. Introduction 2. Existence and Uniqueness 3. Dependence on Initial Data and Parameters 4. Maximal Interval of Existence 5. Fixed Point Method Chapter 3 Linear Differential Equations 1. Introduction 2. General Nonhomogeneous Linear Equations 3. Linear Equations with Constant Coefficients 4. Periodic Coefficients and Floquet Theory Chapter 4 Autonomous Differential Equations in R2 1. Introduction 2. Linear Autonomous Equations in R2 3. Perturbations on Linear Equations in R2 4. An Application： A Simple Pendulum Chapter 5 Stability 1. Introduction 2. Linear Differential Equations 3. Perturbations on Linear Equations 4. Liapunovs 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

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