Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

DOI10.1070/IM2015v079n02ABEH002748zbMath1317.45003OpenAlexW2328208147MaRDI QIDQ5254314

Publication date: 9 June 2015

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2015v079n02abeh002748

zbMATH Keywords

monotonicity convergence asymptotic behavior convolution positive solution induction Hammerstein equation iterations positive stability Carathéodory condition

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Asymptotics of solutions to integral equations (45M05) Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

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One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations ⋮ On the solvability of a class of nonlinear Hammerstein integral equations on the semiaxis ⋮ On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity ⋮ On a class of integral equations with convex nonlinearity on semiaxis ⋮ The Solvability of a System of Nonlinear Integral Equations of Hammerstein Type on the Whole Line ⋮ On positive bounded solutions of one class of nonlinear integral equations with the Hammerstein-Nemytskii operator

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