Fundamental matrix of solutions to the Cauchy problem for one class of degenerate parabolic systems

Malytska Hanna Petrivna; Burtnyak Ivan Volodymyrovych

Malytska Hanna Petrivna ¹ , Burtnyak Ivan Volodymyrovych ²

¹ Department of Mathematical and Functional Analysis, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76018, Ukraine

² Department of Economic Cybernetics, Vasyl Stefanyk Precarpathian National University , Ivano-Frankivsk, 76018, Ukraine

Keywords: fundamental matrix, the Cauchy problem, degenerate parabolic systems

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Abstract

We study the Cauchy problem for a class of degenerate parabolic systems that are Kolmogorov type systems with arbitrary finite number of groups of variables parabolic degeneration. We construct a fundamental matrix of solutions of the Cauchy problem and obtain estimates of the derivatives for systems with constant coefficients in the parabolic part.

References

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Cite

ACS Style: Malytska, H.P.; Burtnyak, I.V. Fundamental matrix of solutions to the Cauchy problem for one class of degenerate parabolic systems. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Malytska HP, Burtnyak IV. Fundamental matrix of solutions to the Cauchy problem for one class of degenerate parabolic systems. Bukovinian Mathematical Journal. 2016; 3(3-4).
Chicago/Turabian Style: Hanna Petrivna Malytska, Ivan Volodymyrovych Burtnyak. 2016. "Fundamental matrix of solutions to the Cauchy problem for one class of degenerate parabolic systems". Bukovinian Mathematical Journal. 3 no. 3-4.

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