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What is Nonlinear Differential Equations about?

1 (p1): CHAPTER 1 PRELIMINARY CONSIDERATIONS 1 (p1-1): 1.Linear Second-order Equations 16 (p1-2): 2.Some Nonlinear Second-order Equations 25 (p1-3): 3.The Initial-value Problem 28 (p1-4): 4.Higher-order Systems 35 (p1-5): 5.The Taxicab Geometry 38 (p1-6): 6.Continuous,Differentiable,Analytic,and Lipschitz Vector Functions 41 (p2): CHAPTER 2 THE EXISTENCE AND THE UNIQUENESS OF A SOLUTION OF THE INITIAL-VALUE PROBLEM 41 (p2-1): 1.The Cauchy-Lipschitz Existence Theorem 46 (p2-2): 2.The Uniqueness Theorem 48 (p2-3): 3.Continuity with Respect to Initial Values 49 (p2-4): 4.The Cauchy-Peano Existence Theorem 56 (p2-5): 5.An Existence and Uniqueness Theorem for Nonautonomous Systems 60 (p3): CHAPTER 3 PROPERTIES OP SOLUTIONS 60 (p3-1): 1.Extension of the Trajectories 62 (p3-2): 2.Continuity Properties of Trajectories 67 (p3-3): 3.The Poincaré Expansion Theorem 72 (p3-4): 4.Differentiability of Solutions 79 (p4): CHAPTER 4 PROPERTIES OF LINEAR SYSTEMS 79 (p4-1): 1.Bases and the Principal Matrix Solution 91 (p4-2): 2.The Linear Inhomogeneous Equation 98 (p4-3): 3.Linear Homogeneous Equations with Constant Coefficients 106 (p4-4): 4.Linear Systems with Periodic Coefficients 115 (p4-5): 5.Asy

Author

Raimond A.Struble

Publisher

McGraw-Hill Book Company,INC.

Published

1962

Language

EN