The systems of the equations of Kolmogorov's type of second oder

  • H.P. Malytska Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
Keywords: fundamental matrix of solutions, Cauchy problem, system of equations of Kolmogorov's type
Published online: 2009-12-30

Abstract


We consider one class of systems of ultraparabolic equation of second order, that have four groups of variables after which are degeneration and coefficients are depend only on a time variable, we construct the fundamental matrix of Cauchy problem and obtain the estimations of this matrix and all its derivatives.