Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 3 2014 04 02 One Class of Stable Difference Schemes for Hyperbolic System 85 89 EN A.M. Blokhin R.D. Alaev M.U. Hudayberganov Computations technologies and mathematical modeling, National University of Uzbekistan, Tashkent, Uzbekistan AJNA2014234 10.12691/ajna-2-3-4 2014 02 06 2014 03 03 2014 04 02 It is suggested one class of difference schemes for hyperbolic systems of equations, which have several forms of writing. Stability of suggested difference schemes is investigated with the help of technics of integrals energy. Numerical results of model problems are given.