Existence theorems for semilinear equations in cones

DOI10.1006/jmaa.2001.7746zbMath1015.47042OpenAlexW1966191136MaRDI QIDQ5957740

Casey T. Cremins

Publication date: 5 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7746

zbMATH Keywords

Fredholm operatorindex zeropositive solutions for operator equationsfixed-point index theoryPicard boundary value problemsolvability for semilinear equations with \(P_\gamma\)-compact maps

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Degree theory for nonlinear operators (47H11) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

Computation of fixed point index and applications to superlinear periodic problem ⋮ An order-type existence theorem and applications to periodic problems ⋮ Second order nonlocal boundary value problems at resonance ⋮ Positive solutions of multi-point boundary value problems at resonance ⋮ Leggett--Williams theorems for coincidences of multivalued operators ⋮ A fixed point theorem for weakly inward \(A\)-proper maps and application to a Picard boundary value problem

Cites Work

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• A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations
• New positive fixed point and eigenvalue results for Pγ-compact maps and some applications
• Quasinormal cones in Banach spaces
• Existence of Solutions in a Cone for Nonlinear Alternative Problems
• Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part
• On the solvability of x∈Tx+λFx in quasinormal cones with T and F k-set-contractive
• Existence of Nonnegative Solutions of a Semilinear Equation at Resonance with Linear Growth
• A fixed-point index and existence theorems for semilinear equations in cones

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