Topological fixed point principles for boundary value problems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2003
|
| Series: | Topological fixed point theory and its applications
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 761 S. Ill., graph. Darst. |
| ISBN: | 1402013809 |
Staff View
MARC
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| 650 | 4 | |a Point fixe, Théorème du | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Fixed point theory | |
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Record in the Search Index
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| adam_text | Table of Contents
Preface xi
Scheme for the relationship of single sections xv
Chapter I
Theoretical background 1
1.1. Structure of locally convex spaces 1
1.2. ANR spaces and AR spaces 16
1.3. Multivalued mappings and their selections 25
1.4. Admissible mappings 66
1.5. Special classes of admissible mappings 72
1.6. Lefschetz fixed point theorem for admissible mappings 88
1.7. Lefschetz fixed point theorem for condensing mappings 97
1.8. Fixed point index and topological degree for admissible maps
in locally convex spaces 99
1.9. Noncompact case 106
1.10. Nielsen number 107
1.11. Nielsen number: noncompact case 120
1.12. Remarks and comments 123
vii
viii
Chapter II
General principles 127
II. 1. Topological structure of fixed point sets:
Aronszajn Browder Gupta type results 127
11.2. Topological structure of fixed point sets:
inverse limit method 131
11.3. Topological dimension of fixed point sets 136
11.4. Topological essentiality 138
11.5. Relative theories of Lefschetz and Nielsen 143
11.6. Periodic point principles 148
11.7. Fixed point index for condensing maps 160
11.8. Approximation methods in the fixed point theory
of multivalued mappings 164
11.9. Topological degree defined by means of approximation methods 174
11.10. Continuation principles based on a fixed point index 184
11.11. Continuation principles based on a coincidence index 195
11.12. Remarks and comments 228
Chapter III
Application to differential equations and inclusions 233
111.1. Topological approach to differential equations and inclusions 233
111.2. Topological structure of solution sets:
initial value problems 249
111.3. Topological structure of solution sets:
boundary value problems 275
111.4. Poincare operators 290
ix
111.5. Existence results 306
111.6. Multiplicity results 350
111.7. Wazewski type results 392
111.8. Bounding and guiding functions approach 421
111.9. Infinitely many subharmonics 496
111.10. Almost periodic problems 534
111.11. Some further applications 557
111.12. Remarks and comments 590
Appendices
A.I. Almost periodic single valued and multivalued functions 599
A.2. Derivo periodic single valued and multivalued functions 657
A.3. Fractals and multivalued fractals 671
References 697
Index 755
|
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| id | DE-604.BV019440107 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:00:12Z |
| institution | BVB |
| isbn | 1402013809 |
| language | English |
| lccn | 2003052948 |
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| physical | XV, 761 S. Ill., graph. Darst. |
| publishDate | 2003 |
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| publishDateSort | 2003 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Topological fixed point theory and its applications |
| series2 | Topological fixed point theory and its applications |
| spelling | Andres, Jan Verfasser aut Topological fixed point principles for boundary value problems by Jan Andres and Lech Górniewicz Dordrecht [u.a.] Kluwer Acad. Publ. 2003 XV, 761 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Topological fixed point theory and its applications 1 Point fixe, Théorème du Problèmes aux limites Boundary value problems Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 s DE-604 Górniewicz, Lech Verfasser aut Topological fixed point theory and its applications 1 (DE-604)BV019618544 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893622&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andres, Jan Górniewicz, Lech Topological fixed point principles for boundary value problems Topological fixed point theory and its applications Point fixe, Théorème du Problèmes aux limites Boundary value problems Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| subject_GND | (DE-588)4293945-8 |
| title | Topological fixed point principles for boundary value problems |
| title_auth | Topological fixed point principles for boundary value problems |
| title_exact_search | Topological fixed point principles for boundary value problems |
| title_full | Topological fixed point principles for boundary value problems by Jan Andres and Lech Górniewicz |
| title_fullStr | Topological fixed point principles for boundary value problems by Jan Andres and Lech Górniewicz |
| title_full_unstemmed | Topological fixed point principles for boundary value problems by Jan Andres and Lech Górniewicz |
| title_short | Topological fixed point principles for boundary value problems |
| title_sort | topological fixed point principles for boundary value problems |
| topic | Point fixe, Théorème du Problèmes aux limites Boundary value problems Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| topic_facet | Point fixe, Théorème du Problèmes aux limites Boundary value problems Fixed point theory Fixpunkttheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893622&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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