, Volume 64, Issue 7, pp 1078-1089
Date: 27 Nov 2012

Problem with pulse action for systems with Bessel–Kolmogorov operators

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We construct the fundamental matrix of solutions of the Cauchy problem and a problem with pulse action for systems with Bessel–Kolmogorov operators degenerate in all space variables. Estimates for the fundamental matrix are obtained, and its properties are established.

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 7, pp. 945–953, July, 2012.