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CHARACTERISTIC PROBLEM FOR THE ONE SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS OF THE THIRD ORDER
- Authors: Yakovleva J.O.1
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Affiliations:
- Samara National Research University
- Issue: Vol 24, No 1 (2018)
- Pages: 20-24
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/6184
- DOI: https://doi.org/10.18287/2541-7525-2018-24-1-20-24
- ID: 6184
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Abstract
In the paper the well-posed characteristic problem is considered for the hyperbolic differential equation of the third order with nonmultiple characteristics. The regular solution of the characteristic problem for the hyperbolic differential equation of the third order with the nonmultiple characteristics is constructed in an explicit form. The well-posed characteristic problem is considered for one system of hyperbolic differential equations of the third order. The regular solution of the characteristic problem for the one system of hyperbolic differential equations of the third order is constructed. The theorem for the Hadamard’s well-posedness characteristic problem for the one system of hyperbolic differential equations is considered as the result of the research.
About the authors
Ju. O. Yakovleva
Samara National Research University
Author for correspondence.
Email: morenov.sv@ssau.ru
Russian Federation
References
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