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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 1(18), Pages 271–275
DOI: https://doi.org/10.14498/vsgtu663 (Mi vsgtu663) 		 
Short Communication
Differential Equations

Construction of General Solution of Degenerating Polmeire–Lunda–Redge System

A. M. Gurieva

Ufa State Aviation Technical University
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DOI: https://doi.org/10.14498/vsgtu663
Abstract: It is demonstrated that degenerating Polmeire–Lunda–Redge system is a Liovielle-type system, formulas were obtained for $x$- and $y$-integrals at the first and the second orders. It was demonstrated how they can be used in order to construct a general solution on this equation system.
Keywords: invariants of Laplace, equation of Liovielle type, integrals.
Original article submitted 14/I/2009
revision submitted – 20/II/2009
Bibliographic databases:
Document Type: Article
UDC: 517.956.3, 517.957
MSC: 35L70, 35C15
Language: Russian
Citation: A. M. Gurieva, “Construction of General Solution of Degenerating Polmeire–Lunda–Redge System”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(18) (2009), 271–275
Citation in format AMSBIB
\Bibitem{Gur09}
\by A.~M.~Gurieva
\paper Construction of General Solution of Degenerating Polmeire--Lunda--Redge System
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 1(18)
\pages 271--275
\mathnet{http://mi.mathnet.ru/vsgtu663}
\crossref{https://doi.org/10.14498/vsgtu663}
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