Ukrainian Mathematical Journal

, Volume 32, Issue 5, pp 452–456 | Cite as

Reverse scattering problem for a transport equation discrete with respect to directions

  • L. P. Nizhnik
  • V. G. Tarasov
Brief Communications


Transport Equation Scatter Problem Reverse Scatter 
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Literature cited

  1. 1.
    V. S. Vladimirov, Mathematical Problems of the Uniform-Speed Theory of Transport of Particles [in Russian], Trudy Mat. Inst. Steklov, Vol. 61, Moscow (1961), p. 157.Google Scholar
  2. 2.
    G. I. Marchuk, Theory and Methods for Nuclear Reactor Calculations, Plenum Publ. (1964).Google Scholar
  3. 3.
    K. M. Case and P. F. Zweifel, Linear Transport Theory, Addison-Wesley, Reading, MA (1967).Google Scholar
  4. 4.
    L. P. Nizhnik, The Reverse Nonstationary Scattering Problem [in Russian], Naukova Dumka, Kiev (1973).Google Scholar
  5. 5.
    L. P. Nizhnik and V. G. Tarasov, “The reverse nonstationary scattering problem for a hyperbolic system of equations,” Dokl. Akad. Nauk SSSR,233, No. 3, 300–303 (1977).Google Scholar
  6. 6.
    L. P. Nizhnik and V. G. Tarasov, “The reverse scattering problem for the uniform-speed transport equation,” Dokl. Akad. Nauk SSSR,242, No. 6, 1307–1310 (1978).Google Scholar
  7. 7.
    V. G. Tarasov, “Scattering problem for the transport equation,” Ukr. Mat. Zh.,28, No. 3, 421–425 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • L. P. Nizhnik
    • 1
  • V. G. Tarasov
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUSSR

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