Fundamental matrix of solutions for one class of parabolic degenerate systems

  • I.V. Burtnyak Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • H.P. Malytska Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
Keywords: fundamental matrix of solutions, Kolmogorov equation, ultraparabolic system
Published online: 2012-06-28

Abstract


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

How to Cite
(1)
BurtnyakI., MalytskaH. Fundamental Matrix of Solutions for One Class of Parabolic Degenerate Systems. Carpathian Math. Publ. 2012, 4 (1), 12–22.