02493nam 2200577 450 99646661820331620220821180930.03-540-36147-210.1007/BFb0065819(CKB)1000000000438693(SSID)ssj0000322824(PQKBManifestationID)12106195(PQKBTitleCode)TC0000322824(PQKBWorkID)10288147(PQKB)10171334(DE-He213)978-3-540-36147-3(MiAaPQ)EBC5585989(Au-PeEL)EBL5585989(OCoLC)1066193671(MiAaPQ)EBC6819087(Au-PeEL)EBL6819087(OCoLC)1058153603(PPN)15523479X(EXLCZ)99100000000043869320220821d1969 uy 0engurnn|008mamaatxtccrEigenfunction branches of nonlinear operators, and their bifurcations /George H. Pimbley, Jr1st ed. 1969.Berlin ;Heidelberg ;New York :Springer-Verlag,[1969]©19691 online resource (II, 131 p.) Lecture notes in mathematics (Springer-Verlag) ;104Bibliographic Level Mode of Issuance: Monograph3-540-04623-2 An 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.Lecture notes in mathematics (Springer-Verlag) ;104.Nonlinear operatorsNonlinear operators.515.7248Pimbley George H.12270MiAaPQMiAaPQMiAaPQBOOK996466618203316Eigenfunction branches of nonlinear operators, and their bifurcations81171UNISA