Fundamental matrix of solutions for one class of parabolic degenerate systems

Authors

  • 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)
Burtnyak, I.; Malytska, H. Fundamental Matrix of Solutions for One Class of Parabolic Degenerate Systems. Carpathian Math. Publ. 2012, 4, 12–22.