Ukrainian Mathematical Journal

, Volume 45, Issue 8, pp 1186–1192 | Cite as

Inverse problems for the heat-conduction equation with nonlocal boundary conditions

  • N. I. Ivanchov
Article

Abstract

Conditions under which the time-dependent temperature conductivity coefficient is determined uniquely are established in the case where the boundary conditions and the overdetermination conditions are non local.

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References

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    N. Ya. Beznoshchenko, “On finding a coefficient in a parabolic equation,”Differents. Uravn.,10, No. 1, 24–35 (1974).Google Scholar
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    B. F. Jones, “The determination of a coefficient in a parabolic differential equation. Part I,”J. Math. Mech.,11, No. 6, 907–918 (1962).Google Scholar
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    N. I. Ionkin and E. I. Moiseev, “A problem for the heat-conduction equation with two-point boundary conditions,”Differents. Uravn.,15, No. 7, 1284–1295 (1979).Google Scholar
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    L. Collatz,Functional Analysis and Numerical Mathematics, Academic Press, New York (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • N. I. Ivanchov
    • 1
  1. 1.L'vov UniversityL'vov

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