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Journal of Mathematical Sciences

, Volume 162, Issue 1, pp 44–58 | Cite as

Boundary-value problem for equations with variable coefficients unsolvable with respect to the higher time derivative

  • N. I. Bilusyak
  • B. Yo. Ptashnyk
Article
  • 20 Downloads

In a cylindrical domain, we study the unique solvability of a boundary-value problem with data given on the whole boundary of the domain for a certain class of linear equations with partial higher-order derivatives that are unsolvable with respect to the higher time derivative with variable coefficients depending on spatial coordinates. The obtained results are transferred to the case where the equation is perturbed by a nonlinear term in the linear part.

Keywords

Variable Coefficient Unique Solvability Cylindrical Domain Small Denominator Dirichlet Type 
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.

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • N. I. Bilusyak
    • 1
  • B. Yo. Ptashnyk
    • 1
  1. 1.Pidstryhach Institute of Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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