Curvilinear Parallelogram Identity and Mean-Value Property for a Semilinear Hyperbolic Equation of the Second Order


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Authors

  • Viktor Korzyuk
  • Jan Viaczaslavavicz Rudzko

Keywords:

hyperbolic equation, characteristics parallelogram, mean-value theorem, mean-value property

Abstract

In this paper, we discuss some important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order derivatives are independent of the desired function and its derivatives. Solutions of these equations have a special property called curvilinear parallelogram identity (or mean-value property), which can be used to solve some initial-boundary value problems.

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Published

2024-07-15

How to Cite

Korzyuk, V., & Rudzko, J. V. (2024). Curvilinear Parallelogram Identity and Mean-Value Property for a Semilinear Hyperbolic Equation of the Second Order. Eurasian Mathematical Journal, 15(2), 61–74. Retrieved from https://emj.enu.kz/index.php/main/article/view/343

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Articles