Nonorientability of the index bundle and several-parameter bifurcation

DOI10.1016/0022-1236(91)90090-RzbMath0736.47011MaRDI QIDQ1175020

Jacobo Pesjsachowicz, Patrick M. Fitzpatrick

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville boundary value problemsLebesgue covering dimensionbifurcation point from infinityconstant separated boundary conditionsquasilinear Fredholmset of all linear Fredholm operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Sturm-Liouville theory (34B24) (Semi-) Fredholm operators; index theories (47A53)

Related Items (12)

Bifurcations of a parametrized family of boundary value problems for second order differential inclusions ⋮ Bifurcation of heteroclinic orbits via an index theory ⋮ A remark on bifurcation of Fredholm maps ⋮ The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems ⋮ Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory ⋮ A \(K\)-theoretical invariant and bifurcation for a parameterized family of functionals ⋮ The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems ⋮ A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems ⋮ The index bundle and multiparameter bifurcation for discrete dynamical systems ⋮ Bifurcation of homoclinics ⋮ Degree of locally condensing perturbations of Fredholm maps with positive index and applications ⋮ A remark on singular sets of vector bundle morphisms

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