Solvability of Sturm–Liouville problems on time scales at resonance

摘要

Under the appropriate growth conditions on the inhomogeneous term, we present the existence of the nontrivial solution for Sturm–Liouville boundary value problems on time scales at resonance by making use of coincidence degree theory of Mawhin. The interesting point is the nonlinearity f which is involved with first-order Δ-derivative explicitly.