000 02685nam a22004575i 4500
001 978-3-540-46742-7
003 DE-He213
005 20160624101824.0
007 cr nn 008mamaa
008 121227s1990 gw | s |||| 0|eng d
020 _a9783540467427
_9978-3-540-46742-7
024 7 _a10.1007/BFb0098346
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aSchaaf, Renate.
_eauthor.
245 1 0 _aGlobal Solution Branches of Two Point Boundary Value Problems
_h[electronic resource] /
_cby Renate Schaaf.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
300 _aXXII, 146 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1458
505 0 _aDirichlet branches bifurcating from zero -- Neumann problems, period maps and semilinear dirichlet problems -- Generalizations -- General properties of time maps.
520 _aThe 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540535140
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1458
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0098346
942 _2EBK1447
_cEBK
999 _c30741
_d30741