Existence of multiple positive solutions for \(m\)-point boundary value problems in Banach spaces
The authors give sufficient conditions for the existence of at least one or two positive solutions to the following \(m\)-point boundary value problem in Banach spaces: \[ u''(t)+a(t) f(t, u(t))=0, ~~u'(0)=\sum_{i=1}^{m-2} b_i u'(\xi_i), ~~u(1)=\sum_{i=1}^{m-2} a_i u(\xi_i), \] on \(I= [0,1]\). A fixed-point theorem is used and an application in a finite dimensional space is given.
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