Skip to main content
SpringerLink
Log in

Uniform correctness of the Cauchy problem for evolutionary equations and its applications

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. E. Hille, "Une generalisation du probleme de Cauchy," Ann. Inst. Fourier IV, 31–48 (1953).

    Google Scholar 

  2. B. S. Mityagin, "Differential equations with a small parameter in a Banach space," Izv. Akad. Nauk Azerb. SSR,1, 23–38 (1961).

    Google Scholar 

  3. S. Ya. Yakubov, "On the solvability of the Cauchy problem for evolutionary equations," Dokl. Akad. Nauk SSSR,156, No. 5, 1041–1044 (1964).

    Google Scholar 

  4. S. Ya. Yakubov, "Differential equations of higher orders with variable unbounded operators in a Banach space," Izv. Akad. Nauk Azerb. SSR,1, 20–27 (1966).

    Google Scholar 

  5. S. Ya. Yakubov, "Solvability of the Cauchy problem for differential equations in a Banach space," Functional Analysis [in Russian], Baku (1967), p. 187–206.

  6. Yu. A. Dubinskii, "The Cauchy problem for operator-differential equations," Dokl. Akad. Nauk SSSR,181, No. 5, 1046–1049 (1968).

    Google Scholar 

  7. P. E. Sobolevskii, "On a certain type of differential equations of the second order in a Banach space," Uchen. Zap. Azerb. Gos. Un-ta,3, 87–106 (1962).

    Google Scholar 

  8. V. G. Raskin and P. E. Sobolevskii, "The Cauchy problem for second order differential equations in Banach spaces," Sibirsk. Matem. Zh.,8, No. 1, 70–90 (1967).

    Google Scholar 

  9. S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  10. T. Kato, "Integration of the equation of evolution in a Banach space," J. Math. Soc. Japan,5, No. 2, 208–234 (1953).

    Google Scholar 

  11. J. Kizynski, "Sur les operateurs de Green des problems de Cauchy abstraits," Studia Math.,23, 285–328 (1964).

    Google Scholar 

  12. S. Ya. Yakubov, "On quasilinear differential equations in abstract spaces," Dokl. Akad. Nauk Azerb. SSR,22, No. 8, 8–12 (1966).

    Google Scholar 

  13. I. E. Segal, "Nonlinear semi-groups," Ann. Math.,78, No. 2, 339–364 (1963).

    Google Scholar 

  14. S. Ya. Yakubov, "The solvability of the Cauchy problem for abstract quasilinear second order hyperbolic equations and its applications," Trudy Mosk. Matem. Ob-va,23, 59–96 (1970).

    Google Scholar 

  15. Z. Ya. Shapiro, "On general boundary problems for equations of elliptic type," Izv. Akad. Nauk SSSR, Ser. Matem.,17, 539–562 (1953).

    Google Scholar 

  16. Ya. B. Lopatinskii, "On a method for reducing boundary problems for systems of differential equations of elliptic type to regular integral equations," Ukrainsk. Matem. Zh.,5, No. 2, 123–151 (1953).

    Google Scholar 

  17. V. P. Glushko and S. G. Krein, "Fractional powers of differential operators and theorems of imbedding," Dokl. Akad. Nauk SSSR,122, No. 6, 963–966 (1958).

    Google Scholar 

Download references

Authors
  1. S. Ya. Yakubov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 4, No. 3, pp. 86–94, July–September, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yakubov, S.Y. Uniform correctness of the Cauchy problem for evolutionary equations and its applications. Funct Anal Its Appl 4, 243–249 (1970). https://doi.org/10.1007/BF01075245

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01075245

Keywords

Search

Navigation