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One nonlocal problem in time for a semilinear multidimensional wave equation

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Abstract

We consider a nonlocal problem in time for semilinear multidimensional wave equations and prove theorems on existence, uniqueness, and nonexistence of solutions.

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Authors and Affiliations

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

    Sergo Kharibegashvili

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

    Sergo Kharibegashvili

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

    Bidzina Midodashvili

  4. Faculty of Education, Exact and Natural Sciences, Gori Teaching University, 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. One nonlocal problem in time for a semilinear multidimensional wave equation. Lith Math J 57, 331–350 (2017). https://doi.org/10.1007/s10986-017-9364-1

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  • DOI: https://doi.org/10.1007/s10986-017-9364-1

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