@Article{Szajnowska2024, author = "Szajnowska, Gabriela and Zima, Mirosława", title = "Positive solutions to a third order nonlocal boundary value problem with a parameter", journal = "Opuscula Math.", year = "2024", volume = "44", number = "2", pages = "267--283", doi = "https://doi.org/10.7494/OpMath.2024.44.2.267", url = "https://doi.org/10.7494/OpMath.2024.44.2.267", abstract = "We present some sufficient conditions for the existence of positive solutions to a third order differential equation subject to nonlocal boundary conditions. Our approach is based on the Krasnosel'skiĭ-Guo fixed point theorem in cones and the properties of the Green's function corresponding to the BVP under study. The main results are illustrated by suitable examples.", keywords = "boundary value problem, nonlocal boundary conditions, positive solution, cone", issn = "1232-9274" }