  We consider the necessary conditions of superconducting pairing at repulsive
interaction between particles composing a pair with large total momentum: (1)
the existence of, at least, one negative eigenvalue of the repulsion potential
and (2) mirror nesting of the Fermi contour. Under these conditions, we
represent the solution of the self-consistency equation continuously depending
on the momentum of the relative motion of the pair. The corresponding
superconducting order parameter changes its sign on a line crossing the Fermi
contour inside the domain of definition of the relative motion pair momentum.
We argue that repulsive-induced superconducting pairing with large total pair
momentum may be just the case relating to high-temperature superconducting
cuprates.
