MARC details
| 000 -LEADER |
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| fixed length control field |
03020cam a22004097i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
17847417 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200303112210.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130812t20132013nyu b 000 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2013947680 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461485223 (pbk. : alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1461485223 (pbk. : alk. paper) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)ocn857958596 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
BTCTA |
| Language of cataloging |
eng |
| Transcribing agency |
BTCTA |
| Description conventions |
rda |
| Modifying agency |
YDXCP |
| -- |
CDX |
| -- |
OCLCO |
| -- |
TEU |
| -- |
IXA |
| -- |
MUU |
| -- |
OCLCF |
| -- |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
lccopycat |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA871 |
| Item number |
.P56 2013 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.352 PIN-J |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Pinasco, Juan Pablo |
| 245 10 - TITLE STATEMENT |
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| Title |
Lyapunov-type inequalities : |
| Remainder of title |
with applications to eigenvalue problems / |
| Statement of responsibility, etc. |
Juan Pablo Pinasco |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
New York |
| Name of publisher, distributor, etc. |
Springer |
| Date of publication, distribution, etc. |
2013 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
131 p. |
| 365 ## - TRADE PRICE |
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| Price type code |
EU |
| Price amount |
49.99. |
| 490 1# - SERIES STATEMENT |
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| Series statement |
SpringerBriefs in mathematics, |
| International Standard Serial Number |
2191-8198 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 127-131). |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction -- 2. Lyapunov's inequality -- 3. Nehari-Calogero-Cohn inequality -- 4. Bargmann-type bounds -- 5. Miscellaneous topics -- A. Preliminaries. |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
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 [greater tna] 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. -- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Lyapunov functions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations, Partial |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional equations |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of complex variables |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
SpringerBriefs in mathematics, |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
copycat |
| d |
2 |
| e |
epcn |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| 955 ## - COPY-LEVEL INFORMATION (RLIN) |
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| Book number/undivided call number, CCAL (RLIN) |
rl09 2015-03-04 z-processor |
| Copy status, CST (RLIN) |
rl09 2015-03-09 ; to BCCD |
| 955 ## - COPY-LEVEL INFORMATION (RLIN) |
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| Classification number, CCAL (RLIN) |
pc17 2013-08-12 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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| Withdrawn status |
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