  In this paper we formulate and analyze the mixed formulation of the
one-dimensional equilibrium model of elastic stents. The model is based on the
curved rod model for the inextensible and ushearable struts and is formulated
in the weak form in \v{C}ani\'{c} and Tamba\v{c}a, 2012. It is given by a
system of ordinary differential equations at the graph structure. In order to
numerically treat the model using finite element method the mixed formulation
is plead for. We obtain equivalence of the weak and the mixed formulation by
proving the Babuska--Brezzi condition for the stent structure.
