Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)
Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)
Resource Information
The item Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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 Lyapunovtype 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 onedimensional problems. For linear higher order problems, several Lyapunovtype 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 Lyapunovtype inequalities remains unexplored
 Language
 eng
 Extent
 XIII, 131 p.
 Isbn
 9781461485230
 Label
 Lyapunovtype Inequalities : With Applications to Eigenvalue Problems
 Title
 Lyapunovtype Inequalities
 Title remainder
 With Applications to Eigenvalue Problems
 Statement of responsibility
 by Juan Pablo Pinasco
 Subject

 Differential Equations
 Functional equations
 Several Complex Variables and Analytic Spaces
 Ordinary Differential Equations
 Functional equations
 Mathematics
 Mathematics
 Differential Equations
 Differential Equations
 Electronic resources
 Mathematics
 Functional equations
 Difference and Functional Equations
 Differential equations, partial
 Differential equations, partial
 Differential equations, partial
 Language
 eng
 Summary
 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 Lyapunovtype 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 onedimensional problems. For linear higher order problems, several Lyapunovtype 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 Lyapunovtype inequalities remains unexplored
 http://library.link/vocab/creatorName
 Pinasco, Juan Pablo
 Image bit depth
 0
 LC call number
 QA372
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 SpringerBriefs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Functional equations
 Differential Equations
 Differential equations, partial
 Mathematics
 Ordinary Differential Equations
 Several Complex Variables and Analytic Spaces
 Difference and Functional Equations
 Label
 Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Extent
 XIII, 131 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461485230
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461485230
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461485230
 Label
 Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Extent
 XIII, 131 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461485230
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461485230
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461485230
Subject
 Difference and Functional Equations
 Differential Equations
 Differential Equations
 Differential Equations
 Differential equations, partial
 Differential equations, partial
 Differential equations, partial
 Electronic resources
 Functional equations
 Functional equations
 Functional equations
 Mathematics
 Mathematics
 Mathematics
 Ordinary Differential Equations
 Several Complex Variables and Analytic Spaces
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/LyapunovtypeInequalitiesWithApplicationsto/9OhRu1aJQOk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/LyapunovtypeInequalitiesWithApplicationsto/9OhRu1aJQOk/">Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/LyapunovtypeInequalitiesWithApplicationsto/9OhRu1aJQOk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/LyapunovtypeInequalitiesWithApplicationsto/9OhRu1aJQOk/">Lyapunovtype Inequalities : With Applications to Eigenvalue Problems, by Juan Pablo Pinasco, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>