Eigenfunction branches of nonlinear operators, and their bifurcations

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Hlavní autor: Pimbley, George, 1922-2008
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 104
Témata:
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Edition sous un autre format:• Eigenfunction branches of nonlinear operators, and their bifurcations, George H. Pimbley, Jr.,..., Berlin, Springer-Verlag, 1969, 1 vol. (128 p.), Lecture notes in mathematics, 3-540-04623-2
• Eigenfunction Branches of Nonlinear Operators, and their Bifurcations, Texte imprimé, 9783662210222
Obsah:
  • 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.