Positive Solutions for a Nonlinear Three-point Boundary-value Problem
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We study the existence of positive solutions to the boundary-value problem
u'' + α(t)ƒ(u) = 0, t ∈ (0,1)
u(0) = 0, αu(ƞ) = u(1),
where 0 < ƞ < 1 and 0 < α < 1/ƞ. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
CitationMa, R. (1999). Positive solutions for a nonlinear three-point boundary-value problem. Electronic Journal of Differential Equations, 1999(34), pp. 1-8.
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