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

  • 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.
Published
25.08.2019
How to Cite
MidodashviliB., and KharibegashviliS. “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, http://umj.imath.kiev.ua/index.php/umj/article/view/1503.
Section
Research articles