Bifurcation when the linearized problem has no eigenvalues

DOI10.1016/0022-0396(78)90002-5zbMath0419.34010OpenAlexW2009536916MaRDI QIDQ1132245

Raffaele Chiappinelli, Charles A. Stuart

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90002-5

zbMATH Keywords

eigenvaluesbifurcationspectrum

Mathematics Subject Classification ID

Ordinary differential operators (34L99) General theory for ordinary differential equations (34A99)

Related Items (11)

Bifurcation revisited along footprints of Jürgen Scheurle ⋮ Global bifurcation for Neumann problems without eigenvalues ⋮ Bifurcation for variational problems when the linearisation has no eigenvalues ⋮ Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line ⋮ Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation ⋮ Uniqueness and bifurcation for solutions of nonlinear Sturm-Liouville eigenvalue problems ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for bifurcation from the continuous spectrum ⋮ The lowest point of the continuous spectrum as a bifurcation point ⋮ Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains ⋮ Characterisation of bifurcation from the continuous spectrum by nodal properties

Cites Work

• Branching of solutions of nonlinear equations
• Some aspects of nonlinear eigenvalue problems
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