Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications

DOI10.1007/s11117-011-0146-4zbMath1266.45009OpenAlexW1976085986MaRDI QIDQ1928257

Zhilin Yang, Zhi-tao Zhang

Publication date: 2 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0146-4

zbMATH Keywords

conepositive solutionfixed point indexnonlinear elliptic equationpositive radial solutionsystem of nonlinear singular Hammerstein integral equations

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Positive solutions for a system of singular second-order integral boundary value problems ⋮ Generalized Hammerstein equations and applications ⋮ Existence of solutions of nonlinear systems subject to arbitrary linear non-local boundary conditions ⋮ Non-negative solutions of systems of ODEs with coupled boundary conditions ⋮ Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems ⋮ A positive fixed point theorem with applications to systems of Hammerstein integral equations ⋮ Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ Positive solutions for a class of fractional difference systems with coupled boundary conditions ⋮ Positive solutions for a coupled system of nonlinear fractional differential equations ⋮ On coupled systems of Hammerstein integral equations

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