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Viser: Ordinary Differential Equations
Ordinary Differential Equations
Wolfgang Walter, Sheldon J. Axler, F. W. Gehring, P. R. Halmos og R. Thompson
(1998)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 1. Udgave
- Hardback: 400 sider
- Udgiver: Springer New York (Juli 1998)
- Forfattere: Wolfgang Walter, Sheldon J. Axler, F. W. Gehring, P. R. Halmos og R. Thompson
- ISBN: 9780387984599
1. Explicit First Order Equations.- §
2. The Linear Differential Equation. Related Equations.- §
3. Differential Equations for Families of Curves. Exact Equations.- §
4. Implicit First Order Differential Equations.- II: Theory of First Order Differential Equations.- §
5. Tools from Functional Analysis.- §
6. An Existence and Uniqueness Theorem.- §
7. The Peano Existence Theorem.- §
8. Complex Differential Equations. Power Series Expansions.- §
9. Upper and Lower Solutions. Maximal and Minimal Integrals.- III: First Order Systems. Equations of Higher Order.- §
10. The Initial Value Problem for a System of First Order.- §
11. Initial Value Problems for Equations of Higher Order.- §
12. Continuous Dependence of Solutions.- §
13. Dependence of Solutions on Initial Values and Parameters.- IV: Linear Differential Equations.- §
14. Linear Systems.- §
15. Homogeneous Linear Systems.- §
16. Inhomogeneous Systems.- §
17. Systems with Constant Coefficients.- §
18. Matrix Functions. Inhomogeneous Systems.- §
19. Linear Differential Equations of Order n.- §
20. Linear Equations of Order nwith Constant Coefficients.- V: Complex Linear Systems.- §
21. Homogeneous Linear Systems in the Regular Case.- §
22. Isolated Singularities.- §
23. Weakly Singular Points. Equations of Fuchsian Type.- §
24. Series Expansion of Solutions.- §
25. Second Order Linear Equations.- VI: Boundary Value and Eigenvalue Problems.- §
26. Boundary Value Problems.- §
27. The Sturm--Liouville Eigenvalue Problem.- §
28. Compact Self-Adjoint Operators in Hilbert Space.- VII: Stability and Asymptotic Behavior.- §
29. Stability.- §
30. The Method of Lyapunov.- A. Topology.- B. Real Analysis.- C. C0111plex Analysis.- D. FunctionalAnalysis.- Solutions and Hints for Selected Exercises.- Literature.- Notation.