\begin{numcases}{}
     (H-\lambda I)x=x^{(k)}=kx^{(k-1)}+ p^{(k)}(\lambda)e_1 ,&  $k=0,1,2,\ldots$ \label{eq35}
    \\
    y^{(k)}(H-\lambda I)=ky^{(k-1)H}+ p^{(k)}(\lambda)e_n^T, &  $k=0,1,2,\ldots$ \label{eq36}
\end{numcases}