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POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR THREE-POINT BOUNDARY VALUE PROBLEMS WITH DEPENDENCE ON THE FIRST ORDER DERIVATIVE  

Guo, Yanping (College of Sciences, Hebei University of Science and Technology)
Han, Xiaohu (Hebei Administration Institute)
Wei, Wenying (College of Sciences, Hebei University of Science and Technology)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1323-1329 More about this Journal
Abstract
In this paper, a new fixed point theorem in cone is applied to obtain the existence of at least one positive pseudo-symmetric solution for the second order three-point boundary value problem {x" + f(t, x, x')=0, t $\in$ (0, 1), x(0)=0, x(1)=x($\eta$), where f is nonnegative continuous function; ${\eta}\;{\in}$ (0, 1) and f(t, u, v) = f(1+$\eta$-t, u, -v).
Keywords
three-point boundary value problem; Fixed point theorem in cone; Pseudo-symmetric solution;
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