A fixed-point index and existence theorems for semilinear equations in cones

DOI10.1016/S0362-546X(00)00144-9zbMath1015.47041OpenAlexW2066394259MaRDI QIDQ5953905

Casey T. Cremins

Publication date: 5 August 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00144-9

zbMATH Keywords

Fredholm operatorexistence of fixed pointsfixed point index theoryindex zerolinear growthpositive solutions for operator equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (13)

Existence and localization of positive solutions for a fractional boundary value problem at resonance ⋮ Computation of fixed point index and applications to superlinear periodic problem ⋮ The existence and multiplicity of positive solutions for second-order periodic boundary value problem ⋮ Existence of nonnegative solutions for second order \(m\)-point boundary value problems at resonance ⋮ An order-type existence theorem and applications to periodic problems ⋮ Existence of positive solutions for a kind of periodic boundary value problem at resonance ⋮ Positive Solutions for a Nonlocal Resonant Problem of First Order ⋮ Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line ⋮ Existence of positive solutions for three-point boundary value problems at resonance ⋮ Second order nonlocal boundary value problems at resonance ⋮ Positive solutions of multi-point boundary value problems at resonance ⋮ On the existence of positive solution for a kind of multi-point boundary value problem at resonance ⋮ Existence theorems for semilinear equations in cones

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• Existence of Nonnegative Solutions of a Semilinear Equation at Resonance with Linear Growth

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