Introduction to nonlinear functional analysis / Purna Chandra Das.
Material type:
TextPublication details: Andharua : Institute of Mathematics and Applications, 2014.Description: 151 pISBN: - 9788192939902
- 23 D229 515.7248
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.7248 D229 (Browse shelf(Opens below)) | Available | C26244 |
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| 515.7248 B879 Handbook of topological fixed point theory | 515.7248 C278 Fixed point theory in ordered sets and applications | 515.7248 D118 Weak continuity and weak lower semicontinuity of nonlinear functionals | 515.7248 D229 Introduction to nonlinear functional analysis / | 515.7248 F951 Spectral analysis of nonlinear operators | 515.7248 G679 Nonlinear operators and the calculus of variations | 515.7248 G748 Fixed point theory |
Includes bibliographical references and index.
1. Normed linear spaces--
2. Normed liner spaces (Review continued)
3. Integration in Banach spaces--
4. Gateaux and Frechet derivativs--
5. Higher order derivatives--
6. Some applications--
7. Implicit and inverse functions theorms--
8. Applications--
9. Lagrange multiplier rule--
10. Lagrange multiplier rule (continued)--
11. Degree of a map--
12. Degree of differentiable functions--
13. Degree's dependence on the image point--
14. Degree at a nonregular point--
15. Degree for continuous functions--
16. Properties of degree--
17. Some applications--
18. Borsuk's theorem--
19. Some related results--
20. Schauder's fixed point theorem--
21. Leray-Schauder degree (LS degree)--
22. Properties of LS Degree--
23. Critical points--
24. Extreme value theorem and applications--
25. Some nonlinear equations--
26. Variational method--
27. Ekeland's Variational principle--
28. Some applications--
29. Minimax theorem--
30. Mountain pass theorem--
31. Kuratowski measure of noncompactness--
32. Application of -MNC--
Exrcises--
Appendix A1
Appendix A2
Appendix A3
Appendix A4
References--
Index.
This books contain the lectures may serve as a basic introduction to nonlinear functional analysis which may be handy in solving some nonlinear problems in other branches of knowledge or may spur the reader to delve deeper in to various aspects which have either not been presented here or have been inadequately treated here.
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