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On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations

Mediterranean Journal of Mathematics volume 18, Article number: 131 (2021) Cite this article

Abstract

The boundary value problem for a class of higher-order nonlinear partial differential equations is considered. The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.

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Authors and Affiliations

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

    S. Kharibegashvili

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

    S. Kharibegashvili

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

    B. Midodashvili

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

    B. Midodashvili

Authors
  1. S. Kharibegashvili
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  2. B. Midodashvili
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Correspondence to B. Midodashvili.

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Kharibegashvili, S., Midodashvili, B. On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations. Mediterr. J. Math. 18, 131 (2021). https://doi.org/10.1007/s00009-021-01752-2

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  • DOI: https://doi.org/10.1007/s00009-021-01752-2

Keywords

  • Nonlinear higher-order equations
  • Schaefer’s fixed point theorem
  • existence
  • uniqueness and nonexistence of solutions

Mathematics Subject Classification

  • Primary 35G30
  • Secondary 00A00