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• W3167526690 endingPage "112437" @default.
• W3167526690 startingPage "112437" @default.
• W3167526690 abstract "For a continuous function A:R→R the existence of at least one positive solution of the nonlocal differential equation −A∫01(g∘u)(s)dsu′′(t)=λf(t,u(t)),t∈(0,1)is considered in the specific case in which g is a concave, strictly increasing continuous function. As a model case we consider −A∫01|u(s)|qdsu′′(t)=λf(t,u(t)),t∈(0,1),where 0<q<1. The results rely on the use of a nonstandard order cone together with an application of topological fixed point theory. Due to this the coefficient function A is neither required to be strictly positive nor monotone nor satisfy any particular growth condition. As a consequence of the theory developed for the preceding problem we also provide results for the nonlocal equation −A((b∗(g∘u))(1))u′′(t)=λf(t,u(t)),t∈(0,1)where t↦(b∗(g∘u))(t) is a finite convolution." @default.
• W3167526690 created "2021-06-22" @default.
• W3167526690 creator A5022427262 @default.
• W3167526690 date "2021-10-01" @default.
• W3167526690 modified "2023-10-14" @default.
• W3167526690 title "Nonlocal differential equations with concave coefficients of convolution type" @default.
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• W3167526690 doi "https://doi.org/10.1016/j.na.2021.112437" @default.
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