On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation

Authors

  • B. Midodashvili
  • S. Kharibegashvili

Abstract

UDC 517.956.35
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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Published

25.08.2019

Issue

Vol. 71 No. 8 (2019)

Section

Research articles

How to Cite

Midodashvili, B., and S. Kharibegashvili. “On the Existence, Uniqueness, and Nonexistence of Solutions of One Boundary-Value Problem for a Semilinear Hyperbolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 71, no. 8, Aug. 2019, pp. 1123-32, https://umj.imath.kiev.ua/index.php/umj/article/view/1503.