Upper and lower stability and index theory for positive mappings and applications

DOI10.1016/0362-546X(91)90048-6zbMath0755.47038OpenAlexW2139920627MaRDI QIDQ3980051

E. Norman Dancer

Publication date: 26 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90048-6

zbMATH Keywords

fixed pointboundary value problemfixed point indexdiscrete dynamical systemsirregular boundarypositive mappingcones with empty interiorcontinuously differentiable increasing order-compact mappingexistence of strict supersolutionsstable from aboveupper and lower stability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Cites Work

• Geometric theory of semilinear parabolic equations
• On the indices of fixed points of mappings in cones and applications
• The fixed point index for local condensing maps
• Stability and convergence in strongly monotone dynamical systems.
• Multiple fixed points of positive mappings.
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