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aim of this paper is to study the following fourth-order operator:\n  T[p,c]\\,u(t)\\equiv u^{(4)}(t)-p\\,u\"(t)+c(t)\\,u(t)\\,,\\quad t\\in I\\equiv [a,b]\\,, coupled with the non-homogeneous simply supported beam boundary conditions: u(a)=u(b)=0\\,,\\quad u\"(a)=d_1\\leq0\\,,\\ u\"(b)=d_2\\leq 0\\,. \n  First, we prove a result which makes an equivalence between the strongly inverse positive (negative) character of this operator with the previously introduced boundary conditions and with the homogeneous boundary conditions, given by: \nT[p,c]\\,u(t)=h(t)(\\geq0)\\,, u(a)=u(b)=u\"(a)=u\"(b)=0\\,, \nOnce that we have ","authors_text":"Alberto Cabada, Lorena Saavedra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-27T14:34:43Z","title":"Constant sign solution for simply supported beam equation with non-homogeneous boundary 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