Abstract

In this paper, we study the impulsive boundary value problems with Riemann–Stieltjes Δ-integral conditions and p-Laplacian operator on timescales. Using the Leray–Schauder fixed point theorem and the nonlinear alternative of Leray–Schauder type, we get the existence of at least one positive solution. We also consider the existence of at least three positive solutions using a new fixed point theorem. Finally, we give an example to show the feasibility of our main results.

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