Advertisement

Ukrainian Mathematical Journal

, Volume 27, Issue 1, pp 70–74 | Cite as

On an asymptotic of the solution of the first boundary-value problem of the heat-conduction equation with a nonstationary boundary

  • V. I. Kalinichenko
  • G. A. Nesenenko
Brief Communications
  • 26 Downloads

Keywords

Nonstationary Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    M. Kats, Some Probability Problems of Physics and Mathematics [in Russian], Nauka, Moscow (1967).Google Scholar
  2. 2.
    G. A. Nesenenko, “On an asymptotic of Green's function of the equation of heat conduction with a small parameter,” Matem. Sb.,87, No. 2 (1972).Google Scholar
  3. 3.
    A. Érdelyi, Asymptotic Expansions, Dover, New York (1956).Google Scholar
  4. 4.
    M. Lavrent'ev and L. Lyusternik, Foundations of the Calculus of Variation, Vol. 1, Part 2 [in Russian], Ob “edinennoe Nauchno-tekhnicheskoe Izdatel'stvo (1935).Google Scholar
  5. 5.
    Z. Ciesielski, “Heat conduction and the principle of not feeling the boundary,” Bulletin de l'Acad. Polon. Sci., Ser. Sci. Math., Astr., Phys.,14, No. 8 (1966).Google Scholar
  6. 6.
    R. H. Cameron, “A family of integrals serving to connect the Wiener and Feynman integrals,” J. Math. and Phys.,39, No. 2 (1960).Google Scholar
  7. 7.
    R. H. Cameron, and W. T. Martin, “Transformations of Wiener integrals under translation,” Ann. Math.,45, No. 2 (1944).Google Scholar
  8. 8.
    J. Nordon, “Sur une solution nouvelle de l'equation de Fourier,” Compt. Rend. Hebdsean l' Academie des Sci.,228, No. 2 (1949).Google Scholar
  9. 9.
    V. V. Semchenko and A. V. Stepanov, “On the diffusion of impulsive superstrong fields,” Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1 (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. I. Kalinichenko
    • 1
    • 2
  • G. A. Nesenenko
    • 1
    • 2
  1. 1.Institute for the Problems of Machine Construction of the Academy of Sciences of the Ukrainian SSRUSSR
  2. 2.High Temperature Institute of the Academy of Sciences of the USSRUSSR

Personalised recommendations