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On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems

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Abstract

In this paper, we consider the boundary value problem for one class of higher-order semilinear hyperbolic systems. We prove the theorems on the existence, uniqueness, and nonexistence of solutions of this problem.

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Authors and Affiliations

  1. I. Javakhishvili Tbilisi State University, A. Razmadze Mathematical Institute, 6, Tamarashvili Str., 0177, Tbilisi, Georgia

    Sergo Kharibegashvili

  2. Georgian Technical University, Department of Mathematics, 77, M. Kostava Str., 0175, Tbilisi, Georgia

    Sergo Kharibegashvili

  3. I. Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences, 13, University Str., 0143, Tbilisi, Georgia

    Bidzina Midodashvili

  4. Gori Teaching University, Faculty of Education, Exact and Natural Sciences, 5, I. Chavchavadze Str., Gori, Georgia

    Bidzina Midodashvili

Authors
  1. Sergo Kharibegashvili
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  2. Bidzina Midodashvili
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Correspondence to Sergo Kharibegashvili.

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Kharibegashvili, S., Midodashvili, B. On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems. Lith Math J 62, 360–371 (2022). https://doi.org/10.1007/s10986-022-09566-9

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  • DOI: https://doi.org/10.1007/s10986-022-09566-9

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