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Journals / Contemporary Analysis and Applied Mathematics / 2013 / Cilt: 1 - Sayı: 2

Çok boyutlu hiperbolik denklem için Goursat problemi üzerine bir not

A note on the Goursat problem for a multidimensional hyperbolic equation

Hadjimamed SOLTANOV
Pages
98–106
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Uniqueness of the solution and weak solvability of the Goursat problem are established

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, the Goursat problem for a multidimensional hyperbolic equation is investigated.
📊
Key Findings & Data:In the present paper, the Goursat problem for a multidimensional hyperbolic equation is investigated.
💡
Conclusion & Impact:Uniqueness of the solution and weak solvability of the Goursat problem are established
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present paper, the Goursat problem for a multidimensional hyperbolic equation is investigated. Uniqueness of the solution and weak solvability of the Goursat problem are established

Özet

Bu makalede, çok boyutlu hiperbolik denklem için Goursat problemi incelenmiştir. Goursat problemin çözümünün tekliği ve zayıf çözünürlüğü kurulmuştur.

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Cite This Article

SOLTANOV, H. (2022). Çok boyutlu hiperbolik denklem için Goursat problemi üzerine bir not. Contemporary Analysis and Applied Mathematics, Cilt: 1 - Sayı: 2, 98–106. https://ajindex.com/articles/476502

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References (14)

  1. M. Nagumo, Lectures on Modern Theory of Partial Differential Equations, Mir, Moscow, 1967 (in Russian)
  2. S. Mizohata, Theory of Partial Differential Equations, Mir, Moscow, 1977 (in Russian)
  3. A.I. Kozhanov, On boundary value problems for some class higher order equations, Sibirskiy Matematicheskiy Jurnal, 35(5) (1994) 359-376 (in Russian)
  4. A.A. Dezin, General Questions of Boundary Value Problems Theory, Nauka, Moscow, 1978 (in Russian)
  5. T.Sh. Kalmenov, Boundary Value Problems for Linear Partial Differential Equations of Hyperbolic Type, Gylym, Shymkent, 1993 (in Russian)
  6. A. Ashyralyev, P.E. Sobolevskii, New Difference Schemes for Partial Differential Equations, Operator Theory Advances and Applications, Birkhauser Verlag, Basel, Boston, Berlin, 2004
  7. D. Amanov, A. Ashyralyev, Well-posedness of boundary value problems for partial differential equations of even order, AIP Conference Proceedings, vol. 1470, ICAAM 2012, pp. 3-8, 2012
  8. S.A. Aldashev, The well-posedness of the Dirichlet problem in the cylindric domain for the multidimensional wave equation, Mathematical Problems Engineering, vol. 2010, Article ID 653215, 7 pages, 2010
  9. S.A. Aldashev, Criterion for the uniqueness of the solution of the Darboux problems for the three dimensional degenerate hyperbolic equation, Mathematical Journal, vol.9, no.3(33), pp 5-13, 2009 (in Russian)
  10. E.I. Moiseev, On solution of a degenerate equations with the use of biorthogonal series, Differential Equations, 27(1) (1991) 94-102
  11. M. Meredov, On the weak solution of a Cauchy problem for the hyperbolic equation, Proceedings of International Conference, Ashgabat, Ylym, pp.168-169, 2012
  12. N. Aggez, M. Ashyralyyewa, Numerical solution of stochastic hyperbolic equations, Abstract and Applied Analysis, vol. 2012, Article Number: 824819, 20 pages, 2012
  13. H. Soltanov, On the Goursat problem in a three dimensional space, Scientific-Theoretical Journal of Supreme Council on Science and Technology under the President of Turkmenistan, 2 (2013) 76-79
  14. A.N. Kolmogorov, S.V. Fomin, Elements of the Theory of Functions and Functional Analysis, Nauka, Moscow, 1976 (in Russian).