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


Nonstationary Boundary 
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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

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