Boundary value problems for operator differential equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer Acad. Publ.
1991
|
| Series: | Mathematics and its applications / Soviet series
48 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XI, 347 S. |
| ISBN: | 0792303814 |
Staff View
MARC
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| 100 | 1 | |a Gorbačuk, Valentina I. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Graničnye zadači dlja differencialʹno-operatornych uravnenij |
| 245 | 1 | 0 | |a Boundary value problems for operator differential equations |c by V. I. Gorbachuk and M. L. Gorbachuk |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1991 | |
| 300 | |a XI, 347 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications / Soviet series |v 48 | |
| 500 | |a Aus d. Russ. übers. | ||
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| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 3 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Gorbačuk, Miroslav L. |e Verfasser |4 aut | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
Chapter 1. Some information from the theory of linear operators 1
1 Banach spaces and continuous linear operators on them 1
2 Hilbert spaces and bounded operators on them 7
3 Vector valued functions 13
4 Unbounded operators. Spectral expansion of self adjoint operators 20
5 The operational calculus 29
6 Singular numbers of completely continuous operators and their
properties 35
7 Locally convex topological spaces 44
Chapter 2. Boundary values of solutions of homogeneous operator differential
equations 54
1 Positive and negative spaces 54
2 Some spaces of test and generalized elements 59
3 The exponential function of a non negative self adjoint operator 79
4 Operator differential equations of the first order 88
5 Operator differential equations of the second order 91
6 Boundary values of periodic harmonic functions 107
7 Boundary values of harmonic functions in the upper half plane that
are square integrable over straight lines parallel to the real axis 116
8 The operational calculus for certain classes of non self adjoint
operators 127
9 The Cauchy problem for certain parabolic equations 135
Chapter 3. Extensions of symmetric operators 146
1 Dissipative extensions and boundary value problems 146
2 Positive definite symmetric operators and solvable extensions of them 157
3 Spectral properties of extensions 164
4 Boundary value problems for the Sturm Liouville equation with
bounded operator potential 173
5 Boundary value problems for the Sturm Liouville equation of
hyperbolic type with unbounded operator potential 177
vii
viii CONTENTS
Chapter 4. Boundary value problems for a second order elliptic type
operator differential equation 201
1 Dissipative boundary value problems 201
2 Some classes of extensions of the minimal operator 210
3 The asymptotics of the spectrum of the Dirichlet and the Neumann
problem 218
4 On the asymptotics of the spectra of general self adjoint problems 226
5 Other boundary value problems 234
6 The case of a variable operator valued coefficient 241
7 Applications to partial differential equations 252
Chapter 5. Boundary values of solutions of differential equations in a
Banach space 257
1 Semigroups of operators and their generators 257
2 Functions of the generator of a contraction Co semigroup 262
3 Boundary values at zero of solutions of a first order differential
equation in a Banach space 274
4 First order equations of parabolic type in the case of
degeneration 291
5 The behaviour of solutions of first order operator differential
equations at infinity 297
6 Applications 311
Bibliographical Comments 316
References 326
Subject Index 345
|
| any_adam_object | 1 |
| author | Gorbačuk, Valentina I. Gorbačuk, Miroslav L. |
| author_facet | Gorbačuk, Valentina I. Gorbačuk, Miroslav L. |
| author_role | aut aut |
| author_sort | Gorbačuk, Valentina I. |
| author_variant | v i g vi vig m l g ml mlg |
| building | Verbundindex |
| bvnumber | BV004466187 |
| classification_rvk | SK 540 SK 620 |
| ctrlnum | (OCoLC)243701555 (DE-599)BVBBV004466187 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004466187 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:13:25Z |
| institution | BVB |
| isbn | 0792303814 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002768523 |
| oclc_num | 243701555 |
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| physical | XI, 347 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Gorbačuk, Valentina I. Verfasser aut Graničnye zadači dlja differencialʹno-operatornych uravnenij Boundary value problems for operator differential equations by V. I. Gorbachuk and M. L. Gorbachuk Dordrecht u.a. Kluwer Acad. Publ. 1991 XI, 347 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 48 Aus d. Russ. übers. Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Unbeschränkter Operator (DE-588)4236037-7 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Unbeschränkter Operator (DE-588)4236037-7 s Hilbert-Raum (DE-588)4159850-7 s Randwertproblem (DE-588)4048395-2 s DE-604 Gorbačuk, Miroslav L. Verfasser aut Soviet series Mathematics and its applications 48 (DE-604)BV004708148 48 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002768523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gorbačuk, Valentina I. Gorbačuk, Miroslav L. Boundary value problems for operator differential equations Hilbert-Raum (DE-588)4159850-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd Unbeschränkter Operator (DE-588)4236037-7 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4044779-0 (DE-588)4048395-2 (DE-588)4236037-7 |
| title | Boundary value problems for operator differential equations |
| title_alt | Graničnye zadači dlja differencialʹno-operatornych uravnenij |
| title_auth | Boundary value problems for operator differential equations |
| title_exact_search | Boundary value problems for operator differential equations |
| title_full | Boundary value problems for operator differential equations by V. I. Gorbachuk and M. L. Gorbachuk |
| title_fullStr | Boundary value problems for operator differential equations by V. I. Gorbachuk and M. L. Gorbachuk |
| title_full_unstemmed | Boundary value problems for operator differential equations by V. I. Gorbachuk and M. L. Gorbachuk |
| title_short | Boundary value problems for operator differential equations |
| title_sort | boundary value problems for operator differential equations |
| topic | Hilbert-Raum (DE-588)4159850-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd Unbeschränkter Operator (DE-588)4236037-7 gnd |
| topic_facet | Hilbert-Raum Partielle Differentialgleichung Randwertproblem Unbeschränkter Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002768523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
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