Solution branches for mappings in cones, and applications

DOI10.1017/S0004972700043707zbMath0284.47033OpenAlexW2067646889MaRDI QIDQ4771765

E. Norman Dancer

Publication date: 1974

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700043707

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Ordered topological linear spaces, vector lattices (46A40)

Related Items

The local stability of positive solutions to the Hammerstein equation with a nonmonotonic Nemytskii operator, A proof of the Dancer's conjecture on fixed point indices of mappings in cones., Global structure of positive solution sets of nonlinear operator equations, Nodal solutions for \(m\)-point boundary value problems using bifurcation methods, Structure of positive solution sets of semi-positone singular boundary value problems, Periodic solutions of special differential equations: an example in non-linear functional analysis, On the indices of fixed points of mappings in cones and applications

Cites Work

• Global solution branches for positive mappings
• Some global results for nonlinear eigenvalue problems
• The fixed point index for local condensing maps
• Fixed points of asymptotically linear maps in ordered Banach spaces
• Global Structure of the Solutions of Non-Linear Real Analytic Eigenvalue Problems