Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity on time scales

In this paper, by using fixed point theorems in cones, some new existence criteria for positive solutions of the nonlinear m-point boundary value problem with an increasing homeomorphism and positive homomorphism are presented. The nonlinear term f is allowed to change sign. In particular, our criteria generalize and improve some known results [20] and the obtained conditions are different from related literature [16], [17] and [23]. As an application, one representative example to demonstrate our results are given.