Nowakowski, AndrzejOrpel, Aleksandra2020-08-072020-08-072002-05-28Nowakowski, A., & Orpel, A. (2002). Positive solutions for a nonlocal boundary-value problem with vector-valued response. <i>Electronic Journal of Differential Equations, 2002</i>(46), pp. 1-15.1072-6691https://hdl.handle.net/10877/12345Using variational methods, we study the existence of positive solutions for a nonlocal boundary-value problem with vector-valued response. We develop duality and variational principles for this problem and present a numerical version which enables the approximation of solutions and gives a measure of a duality gap between primal and dual functional for approximate solutions for this problem.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalNonlocal boundary-value problemsPositive solutionsDuality methodVariational methodArticle