Methods of bifurcation theory. (English) Zbl 0487.47039

Grundlehren der Mathematischen Wissenschaften, Bd. 251. New York - Berlin-Heidelberg: Springer-Verlag. XV, 515 p. DM 128.00; $ 59.60 (1982).


47J05 Equations involving nonlinear operators (general)
47-02 Research exposition (monographs, survey articles) pertaining to operator theory
34Cxx Qualitative theory for ordinary differential equations
35Bxx Qualitative properties of solutions to partial differential equations
47A55 Perturbation theory of linear operators
47Hxx Nonlinear operators and their properties
58C15 Implicit function theorems; global Newton methods on manifolds
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)