* Correspondence: yklie@ynu.edu. cn Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China Abstract In this paper, by making use of the coincidence degree theory of Mawhin, the existence of the nontrivial solution for the boundary value problem with RiemannStieltjes Δ-integral conditions on time scales at resonance ⎧⎨ ⎩ x (t) = f (t, x(t), x (t)) + e(t),...