Three kinds of integrable Kondo problems in one-dimensional extended Hubbar
d models are studied by means of the boundary graded quantum inverse scatte
ring method. The boundary K matrices depending on the local moments of the
impurities are presented as a nontrivial realization of the graded reflecti
on equation algebras acting in a (2s alpha + 1)-dimensional impurity Hilber
t space. Furthermore, these models are solved using the algebraic Bethe ans
atz method, and the Bethe ansatz equations are obtained.