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Ukrainian Mathematical Journal

, Volume 71, Issue 8, pp 1282–1293 | Cite as

On the Existence, Uniqueness, and Nonexistence of Solutions of One Boundary-Value Problem for a Semilinear Hyperbolic Equation

  • S. KharibegashviliEmail author
  • B. Midodashvili
Article
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We consider a boundary-value problem for a semilinear hyperbolic equation with iterated multidimensional wave operator in the principal part. The theorems on existence, uniqueness, and nonexistence of solutions of this problem are established.

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References

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Razmadze Institute of MathematicsTbilisi State UniversityTbilisiGeorgia
  2. 2.Georgian Technical UniversityTbilisiGeorgia

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