LEADER 03018nam 2200625 450 001 996466867103316 005 20220303110540.0 010 $a3-540-46742-4 024 7 $a10.1007/BFb0098346 035 $a(CKB)1000000000437059 035 $a(SSID)ssj0000323561 035 $a(PQKBManifestationID)12131551 035 $a(PQKBTitleCode)TC0000323561 035 $a(PQKBWorkID)10299438 035 $a(PQKB)11061809 035 $a(DE-He213)978-3-540-46742-7 035 $a(MiAaPQ)EBC5595139 035 $a(Au-PeEL)EBL5595139 035 $a(OCoLC)1076230693 035 $a(MiAaPQ)EBC6842960 035 $a(Au-PeEL)EBL6842960 035 $a(OCoLC)1294143018 035 $a(PPN)155187023 035 $a(EXLCZ)991000000000437059 100 $a20220303d1990 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGlobal solution branches of two point boundary value problems /$fRenate Schaaf 205 $a1st ed. 1990. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1990] 210 4$dİ1990 215 $a1 online resource (XXII, 146 p.) 225 1 $aLecture Notes in Mathematics ;$v1458 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-53514-4 327 $aDirichlet branches bifurcating from zero -- Neumann problems, period maps and semilinear dirichlet problems -- Generalizations -- General properties of time maps. 330 $aThe book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1458. 606 $aNonlinear boundary value problems 606 $aBifurcation theory 615 0$aNonlinear boundary value problems. 615 0$aBifurcation theory. 676 $a515.35 686 $a34B25$2msc 700 $aSchaaf$b Renate$f1951-$059921 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466867103316 996 $aGlobal solution branches of two point$9383039 997 $aUNISA