Book:E.L. Ince/Ordinary Differential Equations

Subject Matter

 * Ordinary Differential Equations

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



Source work progress
* : Chapter $\text I$: Introductory: $\S 1.211$ The Partial Differential Equations of All Planes and All Spheres