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Differential Equations: Geometric Theory
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1.
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Preliminary Questions |
2. |
Existence Theorems. General Properties of the Solutions |
3. |
Linear Systems |
4. |
Stability |
5. |
The Differential Equation |
6. |
The Differential Equation |
7. |
The Differential Equation |
8. |
Periodic Systems and Their Stability |
9. |
Two-dimensional Systems: Simple Critical Points. The Index. Behavior at Infinity. |
10. |
Two-dimensional Systems (continued) |
11. |
Differential Equations of the Second Order |
12. |
Oscillations in Systems of the Second Order. Methods of Approximation |
Appendix I. |
Complement on Matrices |
Appendix II. |
Some Topological Complements |
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Dummy View - NOT TO BE DELETED