Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence
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Publication:2284902
DOI10.3934/dcdsb.2019261zbMath1443.45008arXiv1901.08483OpenAlexW2912064215WikidataQ126770705 ScholiaQ126770705MaRDI QIDQ2284902
Publication date: 15 January 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.08483
conepositive solutionfixed point indexincreasing solutionfunctional boundary conditionsperturbed Hammerstein integral equations
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Systems of nonlinear integral equations (45G15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Positive solutions of integral equations (45M20)
Related Items (9)
Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs ⋮ Positive solutions of BVPs on the half-line involving functional BCs ⋮ Positive solutions of a second-order nonlinear Robin problem involving the first-order derivative ⋮ Existence of multiple solutions for a wide class of differential inclusions† ⋮ Positive solutions to a third order nonlocal boundary value problem with a parameter ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ A topological approach to a class of one-dimensional Kirchhoff equations ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case ⋮ Positive solutions for a second-order nonlinear coupled system with derivative dependence subject to coupled Stieltjes integral boundary conditions
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