# Book:E.L. Ince/Ordinary Differential Equations

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## E.L. Ince:

## E.L. Ince: *Ordinary Differential Equations*

Published $1926$, **Longmans**.

### Subject Matter

### Contents

- Preface

- Part I: Differential Equations in the Real Domain

- Chapter I. Introductory
- Chapter II. Elementary Methods of Integration
- Chapter III. The Existence and Nature of Solutions of Ordinary Differential Equations
- Chapter IV. Continuous Transformation Groups
- Chapter V. The General Theory of Linear Differential Equations
- Chapter VI. Linear Equations with Constant Coefficients
- Chapter VII. The Solution of Linear Differential Equations in an Infinite Form
- Chapter VIII. The Solution of Linear Differential Equations by Definite Integrals
- Chapter IX. The Algebraic Theory of Linear Differential Equations
- Chapter X. The Sturmian Theory and its Later Developments
- Chapter XI. Further Developments in the Theory of Boundary Problems

- Part II: Differential Equations in the Complex Domain

- Chapter XII. Existence Theorems in the Complex Domain
- Chapter XIII. Equations of the First Order but not of the First Degree
- Chapter XIV. Non-Linear Equations of Higher Order
- Chapter XV. Linear Equations in the Complex Domain
- Chapter XVI. The Solution of Linear Differential Equations in Series
- Chapter XVII. Equations with Irregular Singular Points
- Chapter XVIII. The Solution of Linear Differential Equations by Methods of Contour Integration
- Chapter XIX. Systems of Linear Equations of the First Order
- Chapter XX. Classification of Linear Differential Equations of the Second Order with Rational Coefficients
- Chapter XXI. Oscillation Theorems in the Complex Domain

- Appendices

- Appendix A. Historical Note on Formal Methods of Integration
- Appendix B. Numerical Integration of Ordinary Differential Equations
- Appendix C. List of Journals Quoted in Footnotes to the Text
- Appendix D. Bibliography
- Index of Authors
- General Index