Skip to main content
SpringerLink
Log in

A mixed problem for a nonstationary system of nonlinear integro-differential equations

  • 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. V. S. Vladimirov, “Mathematical problems of the one-velocity theory of particle transport,” Trudy Mat. Inst. Steklov.,11, 3–158 (1961).

    Google Scholar 

  2. T. A. Germogenova, Local Properties for Solutions of the Transport Equation [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. S. B. Shikhov, Problems of the Mathematical Theory of Reactors [in Russian], Atomizdat, Moscow (1973).

    Google Scholar 

  4. C. V. Pao, “On nonlinear neutron transport equations,” J. Math. Anal. Appl.,42, No. 3, 572–593 (1973).

    Article  MathSciNet  Google Scholar 

  5. S. F. Morozov and V. I. Sumin, “Nonlinear integro-differential systems of equations of nonstationary transport,” Sibirsk. Mat. Zh.,19, No. 4, 842–848 (1978).

    MATH  MathSciNet  Google Scholar 

  6. A. V. Kalinin and S. F. Morozov, “On global solvability of the nonlinear radiation transport problem,” Differentsial'nye Uravneniya,21, No. 3, 482–494 (1985).

    MathSciNet  Google Scholar 

  7. V. V. Ivanov, Transport Theory and Spectra of Celestial Bodies [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  8. V. V. Sobolev, Radiant Energy Transport in the Atmospheres of Stars and Planets [in Russian], Gostekhteorizdat, Moscow (1956).

    Google Scholar 

  9. D. Mialos, Stellar Atmospheres. Vol. 1 and 2 [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  10. G. Birkhoff, Lattice Theory [Russian translation], Nauka, Moscow (1984).

    Google Scholar 

  11. A. Tarski, “A lattice-theoretical fixpoint theorem and its applications,” Pacific. J. Math.,5, No. 2, 285–309 (1955).

    MATH  MathSciNet  Google Scholar 

  12. M. A. Krasnosel'skiî, Positive Solutions of Operator Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

Download references

Authors
  1. A. V. Kalinin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. F. Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Nizhniî Novgorod. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 5, pp. 1052–1066, September–October, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalinin, A.V., Morozov, S.F. A mixed problem for a nonstationary system of nonlinear integro-differential equations. Sib Math J 40, 887–900 (1999). https://doi.org/10.1007/BF02674718

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674718

Keywords

Search

Navigation