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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper, we use the fixed point index theory to investigate the existence of multiple positive solutions for some singular semi-positone m-point boundary value problems of higher order differential equations. In addition,we will assume that the nonlinearity f(t; x) may be singular at x = 0;
Keywords:Singular semi-positone $m$-point boundary value problem, multiple positive solution, fixed point index.