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- W1978745981 abstract "For 1 ≤ k ≤ n − 1, we study the existence of multiple positive solutions to the singular ( k , n − k ) conjugate boundary value problem (−1) n−k y (n) =f(t,y), 0<t<1, y (i) (0)=0, 0⩽i⩽k−1, y (i) (0)=0, 0⩽i⩽k−1, y (j) (1)=0, 0⩽j⩽n−k−1 We show that there are at least two positive solutions if f ( t , y ) is is superlinear at ∞ and singular at u = 0, t = 0, and t = 1. The arguments involve only positivity properties of Green's function and a fixed-point theorem in cones. Moreover, the explicit formula of Green's function can be found in this paper." @default.
- W1978745981 created "2016-06-24" @default.
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- W1978745981 date "2000-07-01" @default.
- W1978745981 modified "2023-10-17" @default.
- W1978745981 title "Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs" @default.
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- W1978745981 doi "https://doi.org/10.1016/s0898-1221(00)00158-9" @default.
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