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.

How to Cite
(1)
Malytska H. The Systems of the Equations of Kolmogorov’s Type of Second Oder. Carpathian Math. Publ. 2009, 1 (2), 180-190.