“…In this paper, we further consider (1.2) on a time scale T satisfying sup T = ∞, where t ∈ [t 0 , ∞) T = [t 0 , ∞) ∩ T with t 0 ∈ T. The motivation originates from [10,12,20,23,24]. We shall establish the existence of nonoscillatory solutions to (1.2) by employing Krasnoselskii's fixed point theorem, and we will give three examples to show the versatility of the results.…”