Author | Deimling, Klaus. author |
---|---|
Title | Nonlinear Functional Analysis [electronic resource] / by Klaus Deimling |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1985 |
Connect to | http://dx.doi.org/10.1007/978-3-662-00547-7 |
Descript | XIV, 450 p. 30 illus. online resource |
1. Topological Degree in Finite Dimensions -- ยง 1. Uniqueness of the Degree -- ยง 2. Construction of the Degree -- ยง 3. Further Properties of the Degree -- ยง 4. Borsukโs Theorem -- ยง 5. The Product Formula -- ยง 6. Concluding Remarks -- 2. Topological Degree in Infinite Dimensions -- ยง 7. Basic Facts About Banach Spaces -- ยง 8. Compact Maps -- ยง 9. Set Contractions -- ยง 10. Concluding Remarks -- 3. Monotone and Accretive Operators -- ยง 11. Monotone Operators on Hilbert Spaces -- ยง 12. Monotone Operators on Banach Spaces -- ยง 13. Accretive Operators -- ยง 14. Concluding Remarks -- Exercises -- 4. Implicit Functions and Problems at Resonance -- ยง 15. Implicit Functions -- ยง 16. Problems at Resonance -- 5. Fixed Point Theory -- ยง 17. Metric Fixed Point Theory -- ยง 18. Fixed Point Theorems Involving Compactness -- 6. Solutions in Cones -- ยง 19. Cones and Increasing Maps -- ยง 20. Solutions in Cones -- 7. Approximate Solutions -- ยง 21. Approximation Solvability -- ยง 22. A-Proper Maps and Galerkin for Differential Equations -- 8. Multis -- ยง 23. Monotone and Accretive Multis -- ยง 24. Multis and Compactness -- 9. Extremal Problems -- ยง 25. Convex Analysis -- ยง 26. Extrema Under Constraints -- ยง 27. Critical Points of Functionals -- 10. Bifurcation -- ยง 28. Local Bifurcation -- ยง 29. Global Bifurcation -- ยง 30. Further Topics in Bifurcation Theory -- Epilogue -- Symbols