Inverse Sturm Liouville problems and their applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Huntington, NY
Nova Science Publ.
2001
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 305 S. |
| ISBN: | 1560729090 |
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Record in the Search Index
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| adam_text | IMAGE 1
INVERSE STURM-LIOUVILLE
PROBLEMS AND THEIR APPLICATIONS
G. FREILING AND V. YURKO
NOVA SCIENCE PUBLISHERS, INC. HUNTINGTON, NEW YORK
IMAGE 2
CONTENTS
PREFACE CHAPTER 1.
CHAPTER 2.
CHAPTER 3.
CHAPTER 4.
STURM-LIOUVILLE OPERATORS ON A FINITE INTERVAL
1.1. BEHAVIOR OF THE SPECTRUM 1.2-PROPERTIES OF EIGENFUNCTIONS 1.3 -
TRANSFORMATION OPERATORS
1.4. UNIQUENESS THEOREMS -
. , 5. THE GELFAND-LEVITAN METHOD 1.6. THE METHOD OF SPECTRAL MAPPINGS
1.7. THE METHOD OF STANDARD MODELS 1.8. LOCAL SOLUTION OF THE INVERSE
PROBLEM
1.9. REVIEW OF THE INVERSE PROBLEM THEORY
STURM-LIOUVILLE OPERATORS ON THE HALF-LINE
2.1. PROPERTIES OF THE SPECTRUM. THE WEYL FUNCTION 2.2. RECOVERY OF THE
DIFFERENTIAL EQUATION FROM THE WEYL FUNCTION 2.3. RECOVERY OF THE
DIFFERENTIAL EQUATION FROM THE SPECTRAL DATA 2.4. AN INVERSE PROBLEM FOR
A WAVE EQUATION
2.5. THE GENERALIZED WEYL FUNCTION
2.6. THE WEYL SEQUENCE
INVERSE SCATTERING ON THE LINE
3.1. SCATTERING DATA 3.2. THE MAIN EQUATION. 3.3. THE INVERSE SCATTERING
PROBLEM , .
3.4. REFLECTIONLESS POTENTIALS. MODIFICATION OF THE DISCRETE SPECTRUM
APPLICATIONS OF THE INVERSE PROBLEM THEORY
4-1. SOLUTION OF THE KORTEWEG-DE VRIES EQUATION ON THE LINE 4.2.
KORTEWEG-DE VRIES EQUATION ON THE HALF-LINE. NONLINEAR REFLECTION 4.3.
CONSTRUCTING PARAMETERS OF A MEDIUM FROM INCOMPLETE SPECTRAL INFORMATION
4.4. DISCONTINUOUS INVERSE PROBLEMS
4.5. INVERSE PROBLEMS IN ELASTICITY THEORY 4.6. BOUNDARY VALUE PROBLEMS
WITH AFTEREFFECT 4.7. DIFFERENTIAL OPERATORS OF THE ORR-SOMMERFELD TYPE
4.8. DIFFERENTIAL EQUATIONS WITH TURNING POINTS REFERENCES
INDEX
VII
1
10 15 20
27 46 71 74
94
99
99 118 128 144 155 160
165
165 180 185 199
201
201 205 213 233 249 254 265
270
285
303
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| any_adam_object | 1 |
| author | Freiling, Gerhard 1949- Jurko, Vjačeslav A. |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014137083 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:58:18Z |
| institution | BVB |
| isbn | 1560729090 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009686832 |
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| physical | IX, 305 S. |
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| spelling | Freiling, Gerhard 1949- Verfasser (DE-588)108631176 aut Inverse Sturm Liouville problems and their applications G. Freiling and V. Yurko Inverse Sturm-Liouville problems and their applications Huntington, NY Nova Science Publ. 2001 IX, 305 S. txt rdacontent n rdamedia nc rdacarrier Operatortheorie gtt Sturm-Liouville equation gtt Operator theory Spectral theory (Mathematics) Sturm-Liouville equation Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Sturm-Liouville-Operator (DE-588)4128474-4 gnd rswk-swf Sturm-Liouville-Operator (DE-588)4128474-4 s Spektraltheorie (DE-588)4116561-5 s Inverses Problem (DE-588)4125161-1 s DE-604 Jurko, Vjačeslav A. Verfasser (DE-588)115019138 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009686832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Freiling, Gerhard 1949- Jurko, Vjačeslav A. Inverse Sturm Liouville problems and their applications Operatortheorie gtt Sturm-Liouville equation gtt Operator theory Spectral theory (Mathematics) Sturm-Liouville equation Spektraltheorie (DE-588)4116561-5 gnd Inverses Problem (DE-588)4125161-1 gnd Sturm-Liouville-Operator (DE-588)4128474-4 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4125161-1 (DE-588)4128474-4 |
| title | Inverse Sturm Liouville problems and their applications |
| title_alt | Inverse Sturm-Liouville problems and their applications |
| title_auth | Inverse Sturm Liouville problems and their applications |
| title_exact_search | Inverse Sturm Liouville problems and their applications |
| title_full | Inverse Sturm Liouville problems and their applications G. Freiling and V. Yurko |
| title_fullStr | Inverse Sturm Liouville problems and their applications G. Freiling and V. Yurko |
| title_full_unstemmed | Inverse Sturm Liouville problems and their applications G. Freiling and V. Yurko |
| title_short | Inverse Sturm Liouville problems and their applications |
| title_sort | inverse sturm liouville problems and their applications |
| topic | Operatortheorie gtt Sturm-Liouville equation gtt Operator theory Spectral theory (Mathematics) Sturm-Liouville equation Spektraltheorie (DE-588)4116561-5 gnd Inverses Problem (DE-588)4125161-1 gnd Sturm-Liouville-Operator (DE-588)4128474-4 gnd |
| topic_facet | Operatortheorie Sturm-Liouville equation Operator theory Spectral theory (Mathematics) Spektraltheorie Inverses Problem Sturm-Liouville-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009686832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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