References

  1. Belavin V.A., Kapitsa S.P., Kurdyumov S.P. A Mathematical model of global demographic processes with regard to the spatial distribution. Comput. Math. Math. Phys. 1998, 38 (6), 849–865. (in Russian)
  2. Dezin A.A. General questions of the theory of boundary value problems. Nauka, Moscow, 1980. (in Russian)
  3. Gel’fand I.M., Shilov G.E. Some questions of the theory of differential equations. Fizmatlit, Moscow, 1958. (in Russian)
  4. Gel’fand I.M., Shilov G.E. Spaces of test and generalized functions. Fizmatlit, Moscow, 1958. (in Russian)
  5. Gorbachuk M.L., Dudnik P.I. On the initial data of the Cauchy problem for parabolic equations for which the solutions are infinitely differentiable. Dokl. Akad. Nauk USSR Ser. A 1981, 4, 9–11. (in Russian)
  6. Gorbachuk V.I., Gorbachuk M.L. Boundary value problems for operator differential equations. Kluwer Academic Publishers Group, Dordrecht, 1991.
  7. Gorodetsky V.V., Martynyuk O.V. Gel’fond-Leont’ev generalized differentiation operators in spaces of type \(S\). Sib. Math. J. 2013, 54 (3), 446–458. doi:10.1134/S0037446613030099 (translation of Sibirsk. Mat. Zh. 2013, 54 (3), 569–584. (in Russian))
  8. Gurevich B.L. Some spaces of test and generalized functions and the Cauchy problem for finite-difference schemes. Dokl. Akad. Nauk SSSR 1954, 99 (6), 893–896. (in Russian)
  9. Horodets’kyi V.V., Martynyuk O.V. Cauchy problem and nonlocal problems for first-order evolution equations on a time variable. Rodovid, Chernivtsi, 2015. (in Ukrainian)
  10. Horodets’kyi V.V. Boundary properties of smooth solutions of parabolic equations in a sphere. Ruta, Chernivtsi, 1998. (in Ukrainian)
  11. Horodets’kyi V.V. Evolutionary equations in countably normed spaces of infinitely differentiable functions. Ruta, Chernivtsi, 2008. (in Ukrainian)
  12. Horodets’kyi V.V. Sets of initial values of smooth solutions of parabolic differential-operator equations. Ruta, Chernivtsi, 1998. (in Ukrainian)
  13. Hotynchan T.U., Atamaniuk R.M. Different forms of defining spaces of type \(W\). Sci. Herald of Chernivtsi Univ., Ser. Math. 2001, 111, 21–26. (in Ukrainian)
  14. Il’kiv V.S., Ptashnyk B.I. An ill-posed nonlocal two-point problem for systems of partial differential equations. Sib. Math. J. 2005, 46 (1), 94–102. doi:10.1007/s11202-005-0010-5 (translation of Sibirsk. Mat. Zh. 2005, 46 (1), 119–129. (in Russian))
  15. Kashpirovskyi A.I. Boundary values of solutions of certain classes of homogeneous differential equations in Hilbert space. Thesis of candidate dissertation. Inst. Math. NAS Ukr., Kyiv, 1981. (in Russian)
  16. Konarovska M.I., Matiichuk M.I. Problems for parabolic systems with double power degeneracy. Sci. Herald of Chernivtsi Univ., Ser. Math. 2012, 2 (2–3), 96–101. (in Ukrainian)
  17. Matiichuk M.I. Parabolic singular boundary value problems. Inst. Math. NAS Ukr., Kyiv, 1999. (in Ukrainian)
  18. Nakhushev A.M. Equations of mathematical biology. Vysshaya Shkola, Moscow, 1995. (in Russian)