On some remarks on the Ising model with competing interactions on a   Cayley tree
  In the present paper the Ising model with competing binary $J$ and $J_1$ interactions with spin values $\pm 1$, on a Cayley tree is considered. We study translation-invatiant Gibbs measures and corresponding free energies ones. 
Farrukh Mukhamedov, Utkir Rozikov