Holdings: Lyapunov-type inequalities

Lyapunov-type inequalities: with applications to eigenvalue problems

Saved in:

Bibliographic Details
Main Author:	Pinasco, Juan Pablo (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Series:	SpringerBriefs in mathematics
Subjects:	Eigenwertproblem Gewöhnliche Differentialgleichung
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461485223 9781461485230
DOI:	10.1007/978-1-4614-8523-0

Staff View

MARC


LEADER	00000nmm a2200000zc 4500
001	BV041382083
003	DE-604
005	00000000000000.0
007	cr\|uuu---uuuuu
008	131026s2013 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
015			\|a 13,O10 \|2 dnb
016	7		\|a 1041828365 \|2 DE-101
020			\|a 9781461485223 \|9 978-1-4614-8522-3
020			\|a 9781461485230 \|c Online \|9 978-1-4614-8523-0
024	7		\|a 10.1007/978-1-4614-8523-0 \|2 doi
024	3		\|a 9781461485230
035			\|a (OCoLC)859356096
035			\|a (DE-599)DNB1041828365
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
049			\|a DE-634 \|a DE-20 \|a DE-703 \|a DE-19 \|a DE-91 \|a DE-739 \|a DE-384 \|a DE-83
082	0		\|a 610
084			\|a 610 \|2 sdnb
084			\|a MAT 000 \|2 stub
100	1		\|a Pinasco, Juan Pablo \|e Verfasser \|4 aut
245	1	0	\|a Lyapunov-type inequalities \|b with applications to eigenvalue problems \|c Juan Pablo Pinasco
264		1	\|a New York, NY [u.a.] \|b Springer \|c 2013
300			\|a 1 Online-Ressource
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	0		\|a SpringerBriefs in mathematics
650	0	7	\|a Eigenwertproblem \|0 (DE-588)4013802-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Gewöhnliche Differentialgleichung \|0 (DE-588)4020929-5 \|2 gnd \|9 rswk-swf
689	0	0	\|a Eigenwertproblem \|0 (DE-588)4013802-1 \|D s
689	0	1	\|a Gewöhnliche Differentialgleichung \|0 (DE-588)4020929-5 \|D s
689	0		\|8 1\p \|5 DE-604
856	4	0	\|u https://doi.org/10.1007/978-1-4614-8523-0 \|x Verlag \|3 Volltext
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Abstract
912			\|a ZDB-2-SMA
999			\|a oai:aleph.bib-bvb.de:BVB01-026830037
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l BTU01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l TUM01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l UBA01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l UBM01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l UBT01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l UBW01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-1-4614-8523-0 \|l UPA01 \|p ZDB-2-SMA \|x Verlag \|3 Volltext

Record in the Search Index

_version_	1804151478415261696
adam_text	LYAPUNOV-TYPE INEQUALITIES / PINASCO, JUAN PABLO : 2013 ABSTRACT / INHALTSTEXT THE EIGENVALUE PROBLEMS FOR QUASILINEAR AND NONLINEAR OPERATORS PRESENT MANY DIFFERENCES WITH THE LINEAR CASE, AND A LYAPUNOV INEQUALITY FOR QUASILINEAR RESONANT SYSTEMS SHOWED THE EXISTENCE OF EIGENVALUE ASYMPTOTICS DRIVEN BY THE COUPLING OF THE EQUATIONS INSTEAD OF THE ORDER OF THE EQUATIONS. FOR P=2, THE COUPLING AND THE ORDER OF THE EQUATIONS ARE THE SAME, SO THIS CANNOT HAPPEN IN LINEAR PROBLEMS. ANOTHER STRIKING DIFFERENCE BETWEEN LINEAR AND QUASILINEAR SECOND ORDER DIFFERENTIAL OPERATORS IS THE EXISTENCE OF LYAPUNOV-TYPE INEQUALITIES IN R^N WHEN P N. SINCE THE LINEAR CASE CORRESPONDS TO P=2, FOR THE USUAL LAPLACIAN THERE EXISTS A LYAPUNOV INEQUALITY ONLY FOR ONE-DIMENSIONAL PROBLEMS. FOR LINEAR HIGHER ORDER PROBLEMS, SEVERAL LYAPUNOV-TYPE INEQUALITIES WERE FOUND BY EGOROV AND KONDRATIEV AND COLLECTED IN ON SPECTRAL THEORY OF ELLIPTIC OPERATORS, BIRKHAUSER BASEL 1996. HOWEVER, THERE EXISTS AN INTERESTING INTERPLAY BETWEEN THE DIMENSION OF THE UNDERLYING SPACE, THE ORDER OF THE DIFFERENTIAL OPERATOR, THE SOBOLEV SPACE WHERE THE OPERATOR IS DEFINED, AND THE NORM OF THE WEIGHT APPEARING IN THE INEQUALITY WHICH IS NOT FULLY DEVELOPED. ALSO, THE LYAPUNOV INEQUALITY FOR DIFFERENTIAL EQUATIONS IN ORLICZ SPACES CAN BE USED TO DEVELOP AN OSCILLATION THEORY, BYPASSING THE CLASSICAL STURMIAN THEORY WHICH IS NOT KNOWN YET FOR THOSE EQUATIONS. FOR MORE GENERAL OPERATORS, LIKE THE P(X) LAPLACIAN, THE POSSIBILITY OF EXISTENCE OF LYAPUNOV-TYPE INEQUALITIES REMAINS UNEXPLORED. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Pinasco, Juan Pablo
author_facet	Pinasco, Juan Pablo
author_role	aut
author_sort	Pinasco, Juan Pablo
author_variant	j p p jp jpp
building	Verbundindex
bvnumber	BV041382083
classification_tum	MAT 000
collection	ZDB-2-SMA
ctrlnum	(OCoLC)859356096 (DE-599)DNB1041828365
dewey-full	610
dewey-hundreds	600 - Technology (Applied sciences)
dewey-ones	610 - Medicine and health
dewey-raw	610
dewey-search	610
dewey-sort	3610
dewey-tens	610 - Medicine and health
discipline	Mathematik Medizin
doi_str_mv	10.1007/978-1-4614-8523-0
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02536nmm a2200553zc 4500</leader><controlfield tag="001">BV041382083</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">131026s2013 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">13,O10</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1041828365</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461485223</subfield><subfield code="9">978-1-4614-8522-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461485230</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4614-8523-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4614-8523-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9781461485230</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)859356096</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1041828365</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="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">610</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">610</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Pinasco, Juan Pablo</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lyapunov-type inequalities</subfield><subfield code="b">with applications to eigenvalue problems</subfield><subfield code="c">Juan Pablo Pinasco</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eigenwertproblem</subfield><subfield code="0">(DE-588)4013802-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Eigenwertproblem</subfield><subfield code="0">(DE-588)4013802-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=026830037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026830037</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><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-8523-0</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV041382083
illustrated	Not Illustrated
indexdate	2024-07-10T00:55:27Z
institution	BVB
isbn	9781461485223 9781461485230
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-026830037
oclc_num	859356096
open_access_boolean
owner	DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83
owner_facet	DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83
physical	1 Online-Ressource
psigel	ZDB-2-SMA
publishDate	2013
publishDateSearch	2013
publishDateSort	2013
publisher	Springer
record_format	marc
series2	SpringerBriefs in mathematics
spelling	Pinasco, Juan Pablo Verfasser aut Lyapunov-type inequalities with applications to eigenvalue problems Juan Pablo Pinasco New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 s Gewöhnliche Differentialgleichung (DE-588)4020929-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-8523-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Pinasco, Juan Pablo Lyapunov-type inequalities with applications to eigenvalue problems Eigenwertproblem (DE-588)4013802-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd
subject_GND	(DE-588)4013802-1 (DE-588)4020929-5
title	Lyapunov-type inequalities with applications to eigenvalue problems
title_auth	Lyapunov-type inequalities with applications to eigenvalue problems
title_exact_search	Lyapunov-type inequalities with applications to eigenvalue problems
title_full	Lyapunov-type inequalities with applications to eigenvalue problems Juan Pablo Pinasco
title_fullStr	Lyapunov-type inequalities with applications to eigenvalue problems Juan Pablo Pinasco
title_full_unstemmed	Lyapunov-type inequalities with applications to eigenvalue problems Juan Pablo Pinasco
title_short	Lyapunov-type inequalities
title_sort	lyapunov type inequalities with applications to eigenvalue problems
title_sub	with applications to eigenvalue problems
topic	Eigenwertproblem (DE-588)4013802-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd
topic_facet	Eigenwertproblem Gewöhnliche Differentialgleichung
url	https://doi.org/10.1007/978-1-4614-8523-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT pinascojuanpablo lyapunovtypeinequalitieswithapplicationstoeigenvalueproblems

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Get full text

MARC

Record in the Search Index

There is no print copy available.

Similar Items