Coverart for item
The Resource Positive Solutions to Indefinite Problems : A Topological Approach, by Guglielmo Feltrin, (electronic resource)

Positive Solutions to Indefinite Problems : A Topological Approach, by Guglielmo Feltrin, (electronic resource)

Label
Positive Solutions to Indefinite Problems : A Topological Approach
Title
Positive Solutions to Indefinite Problems
Title remainder
A Topological Approach
Statement of responsibility
by Guglielmo Feltrin
Creator
Subject
Language
eng
Summary
This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that compelling and substantial research can be obtained and presented in a penetrable way. In particular, the book focuses on second order nonlinear differential equations. It analyzes the Dirichlet, Neumann and periodic boundary value problems associated with the equation and provides existence, nonexistence and multiplicity results for positive solutions. The author proposes a new approach based on topological degree theory that allows him to answer some open questions and solve a conjecture about the dependence of the number of positive solutions on the nodal behaviour of the nonlinear term of the equation. The new technique developed in the book gives, as a byproduct, infinitely many subharmonic solutions and globally defined positive solutions with chaotic behaviour. Furthermore, some future directions for research, open questions and interesting, unexplored topics of investigation are proposed.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Feltrin, Guglielmo
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Frontiers in Mathematics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Differential Equations
  • Operator theory
Label
Positive Solutions to Indefinite Problems : A Topological Approach, by Guglielmo Feltrin, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-94238-4
Instantiates
Publication
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
Contents
Introduction -- Part I - Superlinear indefinite problems -- Dirichlet boundary conditions -- More general nonlinearities f(t; s) -- Neumann and periodic conditions: existence results -- Neumann and periodic conditions: multiplicity results -- Subharmonic solutions and symbolic dynamics -- Part II - Super-sublinear indefinite problems -- Existence results -- High multiplicity results -- Subharmonic solutions and symbolic dynamics -- Part III - Appendices -- Leray-Schauder degree for locally compact operators -- Mawhin's coincidence degree -- Maximum principles and a change of variable -- Bibliography
Control code
978-3-319-94238-4
Dimensions
unknown
Extent
1 online resource (XXIX, 304 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319942384
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076808430
Label
Positive Solutions to Indefinite Problems : A Topological Approach, by Guglielmo Feltrin, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-94238-4
Publication
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
Contents
Introduction -- Part I - Superlinear indefinite problems -- Dirichlet boundary conditions -- More general nonlinearities f(t; s) -- Neumann and periodic conditions: existence results -- Neumann and periodic conditions: multiplicity results -- Subharmonic solutions and symbolic dynamics -- Part II - Super-sublinear indefinite problems -- Existence results -- High multiplicity results -- Subharmonic solutions and symbolic dynamics -- Part III - Appendices -- Leray-Schauder degree for locally compact operators -- Mawhin's coincidence degree -- Maximum principles and a change of variable -- Bibliography
Control code
978-3-319-94238-4
Dimensions
unknown
Extent
1 online resource (XXIX, 304 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319942384
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076808430

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