Dogan, Abdulkadir2025-09-252025-09-2520161300-00981303-6149https://doi.org/10.3906/mat-1503-23https://hdl.handle.net/20.500.12573/4246In this paper, we study the existence of positive solutions of a nonlinear m-point p-Laplacian dynamic equation (phi(p) (x(Delta)(t)))(del) w(t)f (t,x(t), x(Delta)(t)) = 0, t(1) < m-1 X(ti) - B-0 (Sigma m-1 i=2 a(i)x(Delta)(t(i))) = 0, x(Delta) (tm) = 0, or x(Delta)(t(1)) - 0, x(t(m)) + B-1(Sigma m-1 i=2 b(i)s(Delta)(t(i))) -0, where phi(p)(s) =vertical bar s vertical bar(P-2) s, p > 1. Sufficient conditions for the existence of at least three positive solutions of the problem are obtained by using a fixed point theorem. The interesting point is the nonlinear term f is involved with the first order derivative explicitly. As an application, an example is given to illustrate the result.eninfo:eu-repo/semantics/openAccessTime ScalesBoundary Value ProblemP-LaplacianPositive SolutionsFixed Point TheoremArticle10.3906/mat-1503-232-s2.0-85007153930