A new criterion for the existence of multiple solutions in cones
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Publication:3165517
DOI10.1017/S0308210511001016zbMath1264.47059MaRDI QIDQ3165517
Gennaro Infante, Daniel Franco Leis, Juan Perán
Publication date: 29 October 2012
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
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Existence of solutions for \(n^{\text{th}}\)-order nonlinear differential boundary value problems by means of fixed point theorems ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Fixed points of Hammerstein-type equations on general cones ⋮ New fixed point theorem for discontinuous operators in cones and applications ⋮ A non-variational approach to the existence of nonzero positive solutions for elliptic systems ⋮ Existence and multiplicity of solutions of Stieltjes differential equations via topological methods ⋮ The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions ⋮ A positive fixed point theorem with applications to systems of Hammerstein integral equations ⋮ New criteria for the existence of non-trivial fixed points in cones ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ The difference between a class of discrete fractional and integer order boundary value problems ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems
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