Affiliation:
1. Institute of Mathematics, Łódź University of Technology, 90-924 Łódź, ul. Wólczańska 215, Poland e-mail: katarzyna.szymanska-debowska@p.lodz.pl
Abstract
The paper focuses on existence of solutions of a system of nonlocal resonant boundary value problems , where f : [0, 1] × ℝk → ℝk is continuous and g : [0, 1] → ℝk is a function of bounded variation. Imposing on the function f the following condition: the limit limλ→∞f(t, λ a) exists uniformly in a ∈ Sk−1, we have shown that the problem has at least one solution.