Multiple positive solutions to third-order three-point singular semipositone boundary value problem
نویسندگان
چکیده
By using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple positive solutions for the third-order three-point singular semipositone BVP: x ′′′ (t) − λ f (t, x) = 0, t ∈ (0, 1); x(0) = x ′ (η) = x ′′ (1) = 0, where 1 2 < η < 1, the non-linear term f (t, x): (0, 1) × (0, +∞) → (−∞, +∞) is continuous and may be singular at t = 0, t = 1, and x = 0, also may be negative for some values of t and x, λ is a positive parameter.
منابع مشابه
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تاریخ انتشار 2005