Skip to main content
SpringerLink
Log in

On representation of a solution to a modified Cauchy problem

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

References

  1. Protter M. H., “The Cauchy problem for a hyperbolic second order equation with data on the parabolic line,” Canad. J. Math.,6, No. 4, 542–553 (1954).

    MATH  Google Scholar 

  2. Gellerstedt S. Sur un Probleme aux Limites pour une Equation Lineaire aux Derivees Partielles du Second Ordre de Type Mixte, Thesis Doct. Mathematics, Uppsala (1935).

  3. Berezin I. S., “On the Cauchy problem for a second-order linear equation with initial data on the parabolic line,” Mat. Sb.,24, No. 2, 301–320 (1949).

    Google Scholar 

  4. Hellwig G., “Anfangswertprobleme bei partiellen Differentialgleichungen mit Singularitäten,” J. Rational Mech. Anal.,5, No. 2, 395–418 (1956).

    Google Scholar 

  5. Babenko I. K., To the Theory of Mixed-Type Equations [in Russian], Dis. Dokt. Fiz.-Mat. Nauk (1952).

  6. Gellerstedt S., “Sur une equation lineaire aux derivees partielles de type mixte,” Ark. Mat. Astron. Fys. A25, No. 29, 3–29 (1937).

    Google Scholar 

  7. Bitsadze A. V., Equations of Mixed Type [in Russian], Akad. Nauk SSSR, Moscow (1959).

    Google Scholar 

  8. Eleev, V. A., “On some Cauchy-type problems and problems with displacement for a degenerate hyperbolic equation,” Differentsial’nye Uravneniya,12, No. 1, 46–58 (1976).

    MATH  Google Scholar 

  9. Tersenov S. A., “On the theory of hyperbolic equations with data on a line of degeneration of type,” Sibirsk. Mat. Zh.,2, No. 6, 913–935 (1961).

    MATH  Google Scholar 

  10. Karol, “On a certain boundary value problem for an equation of mixed elliptic-parabolic type,” Dokl. Akad. Nauk SSSR,88, No. 2, 197–200 (1953).

    MATH  Google Scholar 

  11. Smirnov M. M., Equations of Mixed Type [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  12. Okunev L. Ya., Higher Algebra [in Russian], Uchpediz, Moscow (1958).

    Google Scholar 

  13. Prudnikov A. P., Brychkov Yu. A. andMarichev O. I., Integrals and Series. Elementary Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  14. Mamadaliev N. K., “Nonlocal problems for equations of parabolic-hyperbolic type,” Uzbek. Mat. Zh., No. 5, 37–44 (1991).

    Google Scholar 

  15. Tricomi F. C., Integral Equations [Russian translation], Izdat. Inostr. Lit., Moscow (1960).

    MATH  Google Scholar 

  16. Sommerfeld A., Partial Differential Equations in Physics [Russian translation], Izdat. Inostr. Lit., Moscow (1950)

    Google Scholar 

Download references

Authors
  1. N. K. Mamadaliev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Tashkent. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 5, pp. 1087–1097, September–October, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mamadaliev, N.K. On representation of a solution to a modified Cauchy problem. Sib Math J 41, 889–899 (2000). https://doi.org/10.1007/BF02674745

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674745

Keywords

Search

Navigation