Eigenvalues and completeness for regular and simply irregular two-point differential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2008
|
| Series: | Memoirs of the American Mathematical Society,
911 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 195, number 911 (second of 4 numbers)." Includes bibliographical references and index |
| Physical Description: | VII, 177 S. |
| ISBN: | 9780821841716 |
Staff View
MARC
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| 100 | 1 | |a Locker, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Eigenvalues and completeness for regular and simply irregular two-point differential operators |c John Locker |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2008 | |
| 300 | |a VII, 177 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |v 911 | |
| 500 | |a "Volume 195, number 911 (second of 4 numbers)." | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a Operadores (teoria) |2 larpcal | |
| 650 | 7 | |a Operadores não lineares |2 larpcal | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Differential operators | |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eigenfunktion |0 (DE-588)4151167-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | 1 | |a Eigenfunktion |0 (DE-588)4151167-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society, |v 911 |w (DE-604)BV008000141 |9 911 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016714467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1804137982513381377 |
|---|---|
| adam_text | Contents
Chapter
1.
Introduction
1
1.1.
Definitions and Notations
1
1.2.
Summary of Results
3
Chapter
2.
Birkhoff Approximate Solutions
13
2.1.
Birkhoff Approximate Solutions
13
2.2.
Special Case:
η
= 2 18
Chapter
3.
The Approximate Characteristic Determinant: Classification
19
3.1.
The Approximate Characteristic Determinant
19
3.2.
Classification for
η
Even
23
3.3.
Classification for
η
Odd
31
Chapter
4.
Asymptotic Expansion of Solutions
39
4.1.
Expansions for
η
Even
39
4.2.
Expansions for
η
Odd
50
Chapter
5.
The Characteristic Determinant
57
5.1.
The Characteristic Determinant for
η
Even
57
5.2.
The Characteristic Determinant for
η
Odd
66
5.3.
Special Case:
η
= 2 70
Chapter
6.
The Green s Function
75
6.1.
The Green s Function for
η
Even
75
6.2.
The Green s Function for
η
Odd
87
Chapter
7.
The Eigenvalues for
η
Even
99
7.1.
Case
1.
ρ
=
q,
ξ0 γ η0
104
7.2.
Case
2.
ρ
=
q,
ξ0
=
η0
106
7.3.
Case
3.
ρ
<
q
107
Chapter
8.
The Eigenvalues for
n
Odd
119
8.1.
Case
1.
p = q
119
8.2.
Case
2.
p
<
q
123
8.3.
Case
3.
p > q
131
Chapter
9.
Completeness of the Generalized Eigenfunctions
139
9.1.
Completeness for
n
Even
139
9.2.
Completeness for
n
Odd
142
Chapter
10.
The Case L = T, Degenerate Irregular Examples
147
10.1.
The Case
L
=
T
147
vi
CONTENTS
10.2.
Two Degenerate Irregular Examples
150
10.3.
The Case
η
= 4,
L
=
T
153
Chapter
11.
Unsolved Problems
165
Chapter
12.
Appendix
169
Bibliography
171
Index
175
|
| adam_txt |
Contents
Chapter
1.
Introduction
1
1.1.
Definitions and Notations
1
1.2.
Summary of Results
3
Chapter
2.
Birkhoff Approximate Solutions
13
2.1.
Birkhoff Approximate Solutions
13
2.2.
Special Case:
η
= 2 18
Chapter
3.
The Approximate Characteristic Determinant: Classification
19
3.1.
The Approximate Characteristic Determinant
19
3.2.
Classification for
η
Even
23
3.3.
Classification for
η
Odd
31
Chapter
4.
Asymptotic Expansion of Solutions
39
4.1.
Expansions for
η
Even
39
4.2.
Expansions for
η
Odd
50
Chapter
5.
The Characteristic Determinant
57
5.1.
The Characteristic Determinant for
η
Even
57
5.2.
The Characteristic Determinant for
η
Odd
66
5.3.
Special Case:
η
= 2 70
Chapter
6.
The Green's Function
75
6.1.
The Green's Function for
η
Even
75
6.2.
The Green's Function for
η
Odd
87
Chapter
7.
The Eigenvalues for
η
Even
99
7.1.
Case
1.
ρ
=
q,
ξ0 γ η0
104
7.2.
Case
2.
ρ
=
q,
ξ0
=
η0
106
7.3.
Case
3.
ρ
<
q
107
Chapter
8.
The Eigenvalues for
n
Odd
119
8.1.
Case
1.
p = q
119
8.2.
Case
2.
p
<
q
123
8.3.
Case
3.
p > q
131
Chapter
9.
Completeness of the Generalized Eigenfunctions
139
9.1.
Completeness for
n
Even
139
9.2.
Completeness for
n
Odd
142
Chapter
10.
The Case L = T, Degenerate Irregular Examples
147
10.1.
The Case
L
=
T
147
vi
CONTENTS
10.2.
Two Degenerate Irregular Examples
150
10.3.
The Case
η
= 4,
L
=
T
153
Chapter
11.
Unsolved Problems
165
Chapter
12.
Appendix
169
Bibliography
171
Index
175 |
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| id | DE-604.BV035045708 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T21:54:44Z |
| indexdate | 2024-07-09T21:20:57Z |
| institution | BVB |
| isbn | 9780821841716 |
| language | English |
| lccn | 2008020748 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016714467 |
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| owner_facet | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| physical | VII, 177 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society, |
| series2 | Memoirs of the American Mathematical Society, |
| spelling | Locker, John Verfasser aut Eigenvalues and completeness for regular and simply irregular two-point differential operators John Locker Providence, R.I. American Mathematical Society 2008 VII, 177 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society, 911 "Volume 195, number 911 (second of 4 numbers)." Includes bibliographical references and index Operadores (teoria) larpcal Operadores não lineares larpcal Eigenvalues Differential operators Differentialoperator (DE-588)4012251-7 gnd rswk-swf Eigenfunktion (DE-588)4151167-0 gnd rswk-swf Differentialoperator (DE-588)4012251-7 s Eigenfunktion (DE-588)4151167-0 s DE-604 Memoirs of the American Mathematical Society, 911 (DE-604)BV008000141 911 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016714467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Locker, John Eigenvalues and completeness for regular and simply irregular two-point differential operators Memoirs of the American Mathematical Society, Operadores (teoria) larpcal Operadores não lineares larpcal Eigenvalues Differential operators Differentialoperator (DE-588)4012251-7 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| subject_GND | (DE-588)4012251-7 (DE-588)4151167-0 |
| title | Eigenvalues and completeness for regular and simply irregular two-point differential operators |
| title_auth | Eigenvalues and completeness for regular and simply irregular two-point differential operators |
| title_exact_search | Eigenvalues and completeness for regular and simply irregular two-point differential operators |
| title_exact_search_txtP | Eigenvalues and completeness for regular and simply irregular two-point differential operators |
| title_full | Eigenvalues and completeness for regular and simply irregular two-point differential operators John Locker |
| title_fullStr | Eigenvalues and completeness for regular and simply irregular two-point differential operators John Locker |
| title_full_unstemmed | Eigenvalues and completeness for regular and simply irregular two-point differential operators John Locker |
| title_short | Eigenvalues and completeness for regular and simply irregular two-point differential operators |
| title_sort | eigenvalues and completeness for regular and simply irregular two point differential operators |
| topic | Operadores (teoria) larpcal Operadores não lineares larpcal Eigenvalues Differential operators Differentialoperator (DE-588)4012251-7 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| topic_facet | Operadores (teoria) Operadores não lineares Eigenvalues Differential operators Differentialoperator Eigenfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016714467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT lockerjohn eigenvaluesandcompletenessforregularandsimplyirregulartwopointdifferentialoperators |