References

  1. Dron' V.S. On correct solvability in weighted Hölder spaces for the Cauchy problem for a class of degenerate parabolic equations of the Kolmogorov type. Nauk. Visnyk Chernivtsi University 2000, 76, 32-41. (in Ukrainian)
  2. Dron' V.S., Ivasyshen S.D. On properties of the volume potential and correct solvability of the Cauchy problem for a model ultraparabolic equation. Nauk. Visnyk Chernivtsi University 1999, 46, 36-43. (in Ukrainian)
  3. Dron' V.S., Ivasyshen S.D. Properties of the volume potential for one class ultraparabolic equation of arbitrary order. Bukovinian Math. J. 2016, 4(3-4), 47-56. (in Ukrainian)
  4. Dron' V.S., Ivasyshen S.D. On smoothness of volume potential for degenerate $\overrightarrow{2b}$-parabolic equations of Kolmogorov type. Nonclassical problems of the theory of differential equations: Call. of scientific works dedicated to 80-anniversary of B.Yo.Ptashnyk. IAPMM, Lviv, 2017, 38-53. (in Ukrainian)
  5. Eidelman S.D. Parabolic Systems. North-Holland, Amsterdam, 1969.
  6. Eidelman S.D., Ivasyshen S.D., Kochubei A.N. Analytic methods in the theory of differential and pseudo-differential equations of parabolic type. In: Operator Theory: Advances and Applications, 152. Birkhäuser Verlag, Basel-Boston-Berlin, 2004. doi: 10.1007/978-3-0348-7844-9
  7. Ivasyshen S.D., Voznyak O.G. The Cauchy problem for parabolic systems with degeneration on the initial hypeplane. Dopov. Nats. Akad. Nauk Ukr. 1994, 6, 7-11. (in Ukrainian)
  8. Ivasyshen S.D., Eidelman S.D. $\overrightarrow{2b}$-parabolic systems. Trudy Sem. Funkt. Anal. Kiev, Institute of Mathematics 1968, 1, 3-175, 271-273. (in Russian)
  9. Ivasyshen S.D., Medynsky I.P. Properties of integrals which have the type of derivatives of volume potentials for parabolic systems with degeneration on the initial hypeplane. Mat. Studii 2000, 13 (1), 33-46.
  10. Ivasyshen S.D., Medynsky I.P. On correct solvability of parabolic systems with degeneration on the initial hypeplane. Nauk. Visnyk Chernivtsi University 2000, 76, 71-76. (in Ukrainian)
  11. Ivasyshen S.D., Medynsky I.P. Properties of integrals which have the type of derivatives of volume potentials for $\overrightarrow{2b}$-parabolic systems with degeneration on the initial hypeplane. Mat. Metodi Fiz.-Mekh. Polya 2002, 45 (4), 76-86. (in Ukrainian)
  12. Ivasyshen S.D., Medynsky I.P. Cauchy problem for $\overrightarrow{2b}$-parabolic systems with degeneration on the initial hypeplane. Mat. Metody Fiz.-Mech. Polya 2003, 46 (3), 15-24. (in Ukrainian)
  13. Medynsky I.P. On a priori estimates for solutions of parabolic systems with degeneration on the initial hypeplane. Visnyk Nat. Univ. Lvivska Polytechnika 2000, 407, 185-194. (in Ukrainian)