Xinguang Zhang, Hui Tian, Yonghong Wu, B. Wiwatanapataphee
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Existence of positive solutions for third-order semipositone boundary value problems on time scales
In this paper, we consider the existence of positive solutions for a semipositone third-order nonlinear ordinary differential equation on time scales. In suitable growth conditions, by considering the properties on time scales and establishing a special cone, some new results on the existence of positive solutions are established when the nonlinearity is semipositone.