Hille E. Ordinary Differential Equations in the Complex Domain

John Wiley & Sons, 1976. — 495 p. — ISBN: 0471399647Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises.Existence and Uniqueness Theorems
Singularities
Riccati's Equation
Linear Differential Equations: First and Second Order
Special Second Order Linear Dulerential Equations
Representation Theorems
Complex Oscillation Theory
Linear nth Order and Matrix Differential Equations
The Schwarzian
First Order Nonlinear Differential Equations
Second Order Nonlinear Differential Equations and Some Autonomous Systems