Under growth conditions on the nonlinear term, the problem u'''' + f(t,u) = 0 with u'(0) = u'(1) = u''(0) = 0 and u(0) = α∫u + Σβ_i u(η_i) has one or two positive solutions.
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Existence and multiplicity of positive solutions to a fourth-order multi-point boundary value problem
Under growth conditions on the nonlinear term, the problem u'''' + f(t,u) = 0 with u'(0) = u'(1) = u''(0) = 0 and u(0) = α∫u + Σβ_i u(η_i) has one or two positive solutions.