In this paper, we consider problem：one-dimensionalprescribed mean curvature equation We Study the exact number of positive solutions of theDirichletproblem for the one-dimensionalprescribed mean curvature equation then this problem has no positive solution and if then thisproblem has one positive solution.In recent decades, there are many studies similar to，such as paper, but they are mainly research theexistence of positive solutions for equation, the exactnumber are rarely studied. Therefore, we research thenumber of positive solution for problem in2C[0,1],and obtain a good result.
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