Multiple nonnegative solutions of nonlinear integral equations on compact and semi-infinite intervals

DOI10.1080/00036810008840824zbMath1021.45007OpenAlexW2166789515WikidataQ58253437 ScholiaQ58253437MaRDI QIDQ2729454

Maria Meehan, Donal O'Regan

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840824

zbMATH Keywords

Krasnoselskii's fixed point theoremcompact intervalnonlinear Fredholm integral equationsemi-infinite intervalmultiple nonnegative solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Positive solutions of integral equations (45M20)

Related Items (15)

Iterative technique for coupled integral boundary value problem of non-integer order differential equations ⋮ Nonlinear boundary value problems on semi-infinite intervals using weighted spaces: an upper and lower solution approach ⋮ Harnack type inequalities and multiple solutions in cones of nonlinear problems ⋮ A new numerical method for a class of Volterra and Fredholm integral equations ⋮ Multiplicity of solutions of Dirichlet second order boundary value problems with derivative dependance ⋮ Unbounded solutions for singular boundary value problems on the semi-infinite interval: upper and lower solutions and multiplicity ⋮ Positive solutions of singular and nonsingular Fredholm integral equations ⋮ Periodic solutions for second order singular damped differential equations ⋮ Existence results for singular integral equations of Fredholm type ⋮ Multiple positive solutions via index theory for singular boundary value problems with derivative dependence ⋮ Eigenvalues of a system of Fredholm integral equations ⋮ Positive solutions of singular integral equations ⋮ Constant-sign \(L^p\) solutions for a system of integral equations ⋮ Existence result for impulsive coupled systems on the half-line ⋮ Solvability of second-order coupled systems on the half-line

Cites Work

• Multiple positive solutions of some boundary value problems
• Fixed points of asymptotically linear maps in ordered Banach spaces
• On the existence of positive solutions of nonlinear second order differential equations

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