Positive Solutions of Fourth-order Boundary Value Problem with Variable Parameters
نویسندگان
چکیده
By means of calculation of the fixed point index in cone we consider the existence of one or two positive solutions for the fourth-order boundary value problem with variable parameters { u(t) + B(t)u′′(t)−A(t)u(t) = f(t, u(t), u′′(t)), 0 < t < 1, u(0) = u(1) = u′′(0) = u′′(1) = 0, where A(t), B(t) ∈ C[0, 1] and f(t, u, v) : [0, 1]× [0,∞)×R → [0,∞) is continuous.
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تاریخ انتشار 2008