Properties of integrals which have the type of derivatives of volume potentials for parabolic systems with degeneration on the initial hyperplane

S.D. Ivasyshen; I.P. Medynsky

Lemmas on the properties of integrals which have type of derivatives of volume potentials generated by fundamental matrix of solutions of the Cauchy problem for parabolic systems with degeneration on the initial hyperplane are proved.

1. Voznyak O.G., Ivasyshen S.D. The Cauchy problem for parabolic systems with degeneration on the initial hyperplane. Dopovidi Natsionalnoi Akademii Nauk Ukrainy, 1994, No. 6, pp. 7–11.

2. Voznyak O.G., Ivasyshen S.D. The fundamental matrices of solutions of the Cauchy problem for parabolic systems with degeneration on the initial hyperplane. Chernivtsi University, Chernivtsi, 1995. Deposited in DNTB of Ukraine, 12.07.1995, No. 1808–Uk95, 51 p.

3. Ivasyshen S.D., Eidelman S.D. 2b-parabolic systems. Trudy seminara po funktsionalnomu analizu, Kiev: Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, 1968, No. 1, pp. 3–175. (in Russian)

4. Ivasyshen S.D. Some parabolic problems with degenerations. Nonlinear Boundary Value Problems, 1997, No. 7, pp. 82–87.

	Properties of integrals which have the type of derivatives of volume potentials for parabolic systems with degeneration on the initial hyperplane
Author	S.D. Ivasyshen, I.P. Medynsky Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, NAS of Ukraine
Abstract	Lemmas on the properties of integrals which have type of derivatives of volume potentials generated by fundamental matrix of solutions of the Cauchy problem for parabolic systems with degeneration on the initial hyperplane are proved.
Keywords	volume potentials, derivatives of volume potentials, fundamental matrix of solutions, Cauchy problem for parabolic systems
DOI	doi:10.30970/ms.13.1.33-46
Reference	1. Voznyak O.G., Ivasyshen S.D. The Cauchy problem for parabolic systems with degeneration on the initial hyperplane. Dopovidi Natsionalnoi Akademii Nauk Ukrainy, 1994, No. 6, pp. 7–11. 2. Voznyak O.G., Ivasyshen S.D. The fundamental matrices of solutions of the Cauchy problem for parabolic systems with degeneration on the initial hyperplane. Chernivtsi University, Chernivtsi, 1995. Deposited in DNTB of Ukraine, 12.07.1995, No. 1808–Uk95, 51 p. 3. Ivasyshen S.D., Eidelman S.D. 2b-parabolic systems. Trudy seminara po funktsionalnomu analizu, Kiev: Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, 1968, No. 1, pp. 3–175. (in Russian) 4. Ivasyshen S.D. Some parabolic problems with degenerations. Nonlinear Boundary Value Problems, 1997, No. 7, pp. 82–87.
Pages	33-46
Volume	13
Issue	1
Year	2000
Journal	Matematychni Studii
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