Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
نویسندگان
چکیده
By using the Krasnoselskii’s fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter u 4 t B t u′′ t λf t, u t , u′′ t , 0 < t < 1, u 0 u 1 ∫1 0 p s u s ds, u ′′ 0 u′′ 1 ∫1 0 q s u ′′ s ds is considered, where p, q ∈ L1 0, 1 , λ > 0 is a parameter, and B ∈ C 0, 1 , f ∈ C 0, 1 × 0,∞ × −∞, 0 , 0,∞ .
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تاریخ انتشار 2011