Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions
نویسندگان
چکیده
We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, u 4 t f t, u t , u′′ t , t ∈ 0, 1 , u 0 ∫1 0 g s u s ds, u 1 0, u′′ 0 ∫1 0 h s u ′′ s ds, u′′ 1 0, where f : 0, 1 × 0, ∞ × −∞, 0 → 0, ∞ is continuous, g, h ∈ L1 0, 1 are nonnegative. The proof of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.
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تاریخ انتشار 2010