Verfügbarkeit: Functional analysis in mechanics

Functional analysis in mechanics:

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Lebedev, Leonid P. 1946- (VerfasserIn), Vorovič, Iosif I. 1920-2001 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Springer 2003
Schriftenreihe:	Springer monographs in mathematics
Schlagworte:	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik Angewandte Mathematik Kontinuumsmechanik Funktionalanalysis Metrischer Raum Operatortheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. 231 - 233
Beschreibung:	XI, 238 S.
ISBN:	0387955194

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV016524852
003	DE-604
005	20050128
007	t
008	030211s2003 gw \|\|\|\| 00\|\|\| eng d
016	7		\|a 966203577 \|2 DE-101
020			\|a 0387955194 \|9 0-387-95519-4
035			\|a (OCoLC)248913205
035			\|a (DE-599)BVBBV016524852
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-703 \|a DE-19 \|a DE-634 \|a DE-83 \|a DE-11
050		0	\|a QA320
082	0		\|a 515.7
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a 74-01 \|2 msc
084			\|a 46-01 \|2 msc
084			\|a 76-01 \|2 msc
100	1		\|a Lebedev, Leonid P. \|d 1946- \|e Verfasser \|0 (DE-588)124355560 \|4 aut
245	1	0	\|a Functional analysis in mechanics \|c L. P. Lebedev ; I. I. Vorovich
264		1	\|a New York [u.a.] \|b Springer \|c 2003
300			\|a XI, 238 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Springer monographs in mathematics
500			\|a Literaturverz. S. 231 - 233
650		4	\|a Funktionalanalysis - Kontinuumsmechanik
650		4	\|a Functional analysis
650	0	7	\|a Mechanik \|0 (DE-588)4038168-7 \|2 gnd \|9 rswk-swf
650	0	7	\|a Angewandte Mathematik \|0 (DE-588)4142443-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Kontinuumsmechanik \|0 (DE-588)4032296-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Metrischer Raum \|0 (DE-588)4169745-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Operatortheorie \|0 (DE-588)4075665-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Kontinuumsmechanik \|0 (DE-588)4032296-8 \|D s
689	0	1	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|D s
689	0		\|5 DE-604
689	1	0	\|a Mechanik \|0 (DE-588)4038168-7 \|D s
689	1	1	\|a Angewandte Mathematik \|0 (DE-588)4142443-8 \|D s
689	1	2	\|a Metrischer Raum \|0 (DE-588)4169745-5 \|D s
689	1	3	\|a Operatortheorie \|0 (DE-588)4075665-8 \|D s
689	1		\|8 1\p \|5 DE-604
700	1		\|a Vorovič, Iosif I. \|d 1920-2001 \|e Verfasser \|0 (DE-588)120780178 \|4 aut
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-010211910
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Datensatz im Suchindex

_version_	1804129839849930752
adam_text	L.P. LEBEDEV I.I. VOROVICH FUNCTIONAL ANALYSIS IN MECHANICS SPRINGER CONTENTS PREFACE TO THE ENGLISH EDITION V PREFACE TO THE RUSSIAN EDITION VII INTRODUCTION 1 1 METRIC SPACES 7 1.1 PRELIMINARIES 7 1.2 SOME METRIC SPACES OF FUNCTIONS 12 1.3 ENERGY SPACES 14 1.4 SETS IN A METRIC SPACE 18 1.5 CONVERGENCE IN A METRIC SPACE 18 1.6 COMPLETENESS 19 1.7 THE COMPLETION THEOREM 21 1.8 THE LEBESGUE INTEGRAL AND THE SPACE L P {Q) 23 1.9 BANACH AND HILBERT SPACES 27 1.10 SOME ENERGY SPACES 32 1.11 SOBOLEV SPACES 47 1.12 INTRODUCTION TO OPERATORS 50 1.13 CONTRACTION MAPPING PRINCIPLE 52 1.14 GENERALIZED SOLUTIONS IN MECHANICS 57 1.15 SEPARABILITY 62 1.16 COMPACTNESS, HAUSDORFF CRITERION 67 1.17 ARZELA S THEOREM AND ITS APPLICATIONS 70 CONTENTS 1.18 APPROXIMATION THEORY 76 1.19 DECOMPOSITION THEOREM, RIESZ REPRESENTATION 79 1.20 EXISTENCE OF ENERGY SOLUTIONS 83 1.21 THE PROBLEM OF ELASTICO-PLASTICITY 87 1.22 BASES AND COMPLETE SYSTEMS 94 1.23 WEAK CONVERGENCE IN A HILBERT SPACE 99 1.24 RITZ AND BUBNOV-GALERKIN METHODS 109 1.25 CURVILINEAR COORDINATES, NON-HOMOGENEOUS BOUNDARY CONDITIONS ILL 1.26 THE BRAMBLE-HILBERT LEMMA AND ITS APPLICATIONS 114 ELEMENTS OF THE THEORY OF OPERATORS 121 2.1 SPACES OF LINEAR OPERATORS 121 2.2 BANACH-STEINHAUS PRINCIPLE 124 2.3 THE INVERSE OPERATOR 126 2.4 CLOSED OPERATORS 129 2.5 THE NOTION OF ADJOINT OPERATOR 132 2.6 COMPACT OPERATORS 139 2.7 COMPACT OPERATORS IN HILBERT SPACE 144 2.8 FUNCTIONS TAKING VALUES IN A BANACH SPACE 146 2.9 SPECTRUM OF LINEAR OPERATORS 149 2.10 RESOLVENT SET OF A CLOSED LINEAR OPERATOR 152 2.11 SPECTRUM OF COMPACT OPERATORS IN HILBERT SPACE 154 2.12 ANALYTIC NATURE OF THE RESOLVENT OF A COMPACT LINEAR OPERATOR 162 2.13 SPECTRUM OF HOLOMORPHIC COMPACT OPERATOR FUNCTION . . . 164 2.14 SPECTRUM OF SELF-ADJOINT COMPACT LINEAR OPERATOR IN HILBERT SPACE 166 2.15 SOME APPLICATIONS OF SPECTRAL THEORY 171 2.16 COURANT S MINIMAX PRINCIPLE 175 ELEMENTS OF NONLINEAR FUNCTIONAL ANALYSIS 177 3.1 FRECHET AND GATEAUX DERIVATIVES 177 3.2 LIAPUNOV-SCHMIDT METHOD 182 3.3 CRITICAL POINTS OF A FUNCTIONAL 184 3.4 VON KARMAN EQUATIONS OF A PLATE 189 3.5 BUCKLING OF A THIN ELASTIC SHELL 195 3.6 EQUILIBRIUM OF ELASTIC SHALLOW SHELLS 204 3.7 DEGREE THEORY 209 3.8 STEADY-STATE FLOW OF VISCOUS LIQUID 211 CONTENTS XI APPENDIX: HINTS FOR SELECTED PROBLEMS 219 REFERENCES 231 INDEX 235
any_adam_object	1
author	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001
author_GND	(DE-588)124355560 (DE-588)120780178
author_facet	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001
author_role	aut aut
author_sort	Lebedev, Leonid P. 1946-
author_variant	l p l lp lpl i i v ii iiv
building	Verbundindex
bvnumber	BV016524852
callnumber-first	Q - Science
callnumber-label	QA320
callnumber-raw	QA320
callnumber-search	QA320
callnumber-sort	QA 3320
callnumber-subject	QA - Mathematics
classification_rvk	SK 600
ctrlnum	(OCoLC)248913205 (DE-599)BVBBV016524852
dewey-full	515.7
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.7
dewey-search	515.7
dewey-sort	3515.7
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02383nam a2200601 c 4500</leader><controlfield tag="001">BV016524852</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050128 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030211s2003 gw \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">966203577</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387955194</subfield><subfield code="9">0-387-95519-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)248913205</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV016524852</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA320</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">74-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">76-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lebedev, Leonid P.</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)124355560</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Functional analysis in mechanics</subfield><subfield code="c">L. P. Lebedev ; I. I. Vorovich</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 238 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer monographs in mathematics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 231 - 233</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Funktionalanalysis - Kontinuumsmechanik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Metrischer Raum</subfield><subfield code="0">(DE-588)4169745-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Metrischer Raum</subfield><subfield code="0">(DE-588)4169745-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="3"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vorovič, Iosif I.</subfield><subfield code="d">1920-2001</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120780178</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010211910</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection>
id	DE-604.BV016524852
illustrated	Not Illustrated
indexdate	2024-07-09T19:11:31Z
institution	BVB
isbn	0387955194
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010211910
oclc_num	248913205
open_access_boolean
owner	DE-703 DE-19 DE-BY-UBM DE-634 DE-83 DE-11
owner_facet	DE-703 DE-19 DE-BY-UBM DE-634 DE-83 DE-11
physical	XI, 238 S.
publishDate	2003
publishDateSearch	2003
publishDateSort	2003
publisher	Springer
record_format	marc
series2	Springer monographs in mathematics
spelling	Lebedev, Leonid P. 1946- Verfasser (DE-588)124355560 aut Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich New York [u.a.] Springer 2003 XI, 238 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 231 - 233 Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik (DE-588)4038168-7 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Mechanik (DE-588)4038168-7 s Angewandte Mathematik (DE-588)4142443-8 s Metrischer Raum (DE-588)4169745-5 s Operatortheorie (DE-588)4075665-8 s 1\p DE-604 Vorovič, Iosif I. 1920-2001 Verfasser (DE-588)120780178 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001 Functional analysis in mechanics Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Metrischer Raum (DE-588)4169745-5 gnd Operatortheorie (DE-588)4075665-8 gnd
subject_GND	(DE-588)4038168-7 (DE-588)4142443-8 (DE-588)4032296-8 (DE-588)4018916-8 (DE-588)4169745-5 (DE-588)4075665-8
title	Functional analysis in mechanics
title_auth	Functional analysis in mechanics
title_exact_search	Functional analysis in mechanics
title_full	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_fullStr	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_full_unstemmed	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_short	Functional analysis in mechanics
title_sort	functional analysis in mechanics
topic	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Metrischer Raum (DE-588)4169745-5 gnd Operatortheorie (DE-588)4075665-8 gnd
topic_facet	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik Angewandte Mathematik Kontinuumsmechanik Funktionalanalysis Metrischer Raum Operatortheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT lebedevleonidp functionalanalysisinmechanics AT voroviciosifi functionalanalysisinmechanics

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Inhaltsverzeichnis

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge