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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 4(33), Pages 25–33
DOI: https://doi.org/10.14498/vsgtu1239 (Mi vsgtu1239) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Differential Equations

On irregular singular curves of Whittaker type systems

Zh. Tasmambetov

Aktobe State University after K. Zhubanov, Aktobe, 030000, Kazakhstan
Full-text PDF (527 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1239
Abstract: The given work studies the regular and irregular singular curves of special systems of the second order partial differential equations. By the means of rank and antirank, the necessary and sufficient condition for an existence of regular solution, also the first and the second necessary condition for an existence of normal-regular solution were established. The types of solutions in the neighborhood of regular and irregular features were defined. The application of two variables special functions was considered.
Keywords: special points, differential equations, Frobenius–Latysheva's method.
Original article submitted 04/VII/2013
revision submitted – 12/VIII/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: Primary 35A20; Secondary 35A25, 35C05
Language: Russian
Citation: Zh. Tasmambetov, “On irregular singular curves of Whittaker type systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(33) (2013), 25–33
Citation in format AMSBIB
\Bibitem{Tas13}
\by Zh.~Tasmambetov
\paper On irregular singular curves of Whittaker type systems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 4(33)
\pages 25--33
\mathnet{http://mi.mathnet.ru/vsgtu1239}
\crossref{https://doi.org/10.14498/vsgtu1239}
\zmath{https://zbmath.org/?q=an:06968801}
\elib{https://elibrary.ru/item.asp?id=21159182}
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  • https://www.mathnet.ru/eng/vsgtu/v133/p25
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:77
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