  We derive the deformed sl(2) Gaudin model with integrable boundaries.
Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrix
and generic solutions of the associated reflection equation and the dual
reflection equation, the corresponding inhomogeneous spin-1/2 XXX chain is
obtained. The quasi-classical expansion of the transfer matrix yields the
deformed sl(2) Gaudin Hamiltonians with boundary terms.

Exactly Solvable and Integrable Systems;High Energy Physics - Theory;Quantum Algebra