Ukrainian Mathematical Journal

, Volume 47, Issue 7, pp 1050–1057 | Cite as

Nonlocal boundary-value problem for parabolic equations with variable coefficients

  • N. M. Zadorozhna
  • B. I. Ptashnyk


We study the boundary-value problem for Petrovskii parabolic equations of arbitrary order with variable coefficients with conditions nonlocal in time. We establish conditions for the existence and uniqueness of a classical solution of this problem and prove metric theorems on lower bounds of small denominators appearing in the construction of a solution of the problem.


Lower Bound Parabolic Equation Classical Solution Variable Coefficient Arbitrary Order 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • N. M. Zadorozhna
    • 1
  • B. I. Ptashnyk
    • 1
  1. 1.Institute of Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLvov

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