LEADER 02493nam 2200577 450 001 996466618203316 005 20220821180930.0 010 $a3-540-36147-2 024 7 $a10.1007/BFb0065819 035 $a(CKB)1000000000438693 035 $a(SSID)ssj0000322824 035 $a(PQKBManifestationID)12106195 035 $a(PQKBTitleCode)TC0000322824 035 $a(PQKBWorkID)10288147 035 $a(PQKB)10171334 035 $a(DE-He213)978-3-540-36147-3 035 $a(MiAaPQ)EBC5585989 035 $a(Au-PeEL)EBL5585989 035 $a(OCoLC)1066193671 035 $a(MiAaPQ)EBC6819087 035 $a(Au-PeEL)EBL6819087 035 $a(OCoLC)1058153603 035 $a(PPN)15523479X 035 $a(EXLCZ)991000000000438693 100 $a20220821d1969 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEigenfunction branches of nonlinear operators, and their bifurcations /$fGeorge H. Pimbley, Jr 205 $a1st ed. 1969. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer-Verlag,$d[1969] 210 4$dİ1969 215 $a1 online resource (II, 131 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v104 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-04623-2 327 $aAn example -- The extension of branches of solutions for nonlinear equations in Banach spaces -- Development of branches of solutions for nonlinear equations near an exceptional point. Bifurcation theory -- Solution of the bifurcation equation in the case n=1; bifurcation at the origin -- The eigenvalue problem; hammerstein operators; sublinear and superlinear operators; oscillation kernels -- On the extension of branches of eigenfunctions; conditions preventing secondary bifurcation of branches -- Extension of branches of eigenfunctions of Hammerstein operators -- The example of section 1, reconsidered -- A two-point boundary value problem -- Summary; collection of hypotheses; unsettled questions. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v104. 606 $aNonlinear operators 615 0$aNonlinear operators. 676 $a515.7248 700 $aPimbley$b George H.$012270 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466618203316 996 $aEigenfunction branches of nonlinear operators, and their bifurcations$981171 997 $aUNISA