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PrefaceChapter 1 A Brief Description1. Linear Differential Equations2. The Need for Qualitative Analysis3. Description and TerminologyChapter 2 Existence and Uniqueness1. Introduction2. Existence and Uniqueness3. Dependence on Initial Data and Parameters4. Maximal Interval of Existence5. Fixed Point MethodChapter 3 Linear Differential Equations1. Introduction2. General Nonhomogeneous Linear Equations3. Linear Equations with Constant Coefficients4. Periodic Coefficients and Floquet TheoryChapter 4 Autonomous Differential Equations in R21. Introduction2. Linear Autonomous Equations in R23. Perturbations on Linear Equations in R24. An Application: A Simple PendulumChapter 5 Stability1. Introduction2. Linear Differential Equations3. Perturbations on Linear Equations4. Liapunov's Method for Autonomous EquationsChapter 6 Periodic Solutions1. Introduction2. Linear Differential Equations3. Nonlinear Differential EquationsChapter 7 Dynamical Systems1. Introduction2. Poincare-Bendixson Theorem in R23. Limit Cycles4. An Application: Lotka-Volterra EquationChapter 8 Some New Equations1. Introduction2. Finite Delay Differential Equations3. Infinite Delay Differential Equations4. Integrodifferential Equations5. Impulsive Differential Equations6. Equations with Nonlocal Conditions7. Impulsive Equations with Nonlocal Conditions8. Abstract Differential EquationsAppendixReferencesIndex