Global solution branches of two point boundary value problems /

Global solution branches of two point boundary value problems /

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Bibliographic Details
Author / Creator:	Schaaf, Renate, 1951-
Imprint:	Berlin ; New York : Springer-Verlag, ©1990.
Description:	1 online resource (xvii, 140 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1458 Lecture notes in mathematics (Springer-Verlag) ; 1458.
Subject:	Nonlinear boundary value problems. Bifurcation theory. Bifurcation theory. Nonlinear boundary value problems.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11070477

Hidden Bibliographic Details
ISBN:	9783540467427 3540467424 3540535144 9783540535140 0387535144 9780387535142
Notes:	Includes bibliographical references (pages 139-140) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	The book deals with parameter dependent problems of the form u"+f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u, )-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.
Other form:	Print version: Schaaf, Renate, 1951- Global solution branches of two point boundary value problems. Berlin ; New York : Springer-Verlag, ©1990 3540535144

Description
Summary:	The book deals with parameter dependent problems of the form u"+f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.
Physical Description:	1 online resource (xvii, 140 pages) : illustrations.
Format:	Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:	Includes bibliographical references (pages 139-140) and index.
ISBN:	9783540467427 3540467424 3540535144 9783540535140 0387535144 9780387535142
ISSN:	0075-8434 ;