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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2011, Issue 4, Pages 4–17 (Mi vyurm214)  
This article is cited in 8 scientific papers (total in 8 papers)

Mathematics

Polynomial solutions то partial differential equations with constant coefficients I

V. V. Karachik

South Ural State University
Full-text PDF (910 kB) Citations (8)
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Abstract: Existence of polynomial solutions to systems of linear partial differential equations with constant coefficients of general form are investigated.
Keywords: polynomial solutions, harmonic polynomials, linear partial differential equations.
Received: 02.12.2010
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. V. Karachik, “Polynomial solutions то partial differential equations with constant coefficients I”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 4, 4–17
Citation in format AMSBIB
\Bibitem{Kar11}
\by V.~V.~Karachik
\paper Polynomial solutions то partial differential equations with constant coefficients~I
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2011
\issue 4
\pages 4--17
\mathnet{http://mi.mathnet.ru/vyurm214}
Linking options:
  • https://www.mathnet.ru/eng/vyurm214
  • https://www.mathnet.ru/eng/vyurm/y2011/i4/p4
    Cycle of papers
    This publication is cited in the following 8 articles:
    1. M. L. Zaitsev, V. B. Akkerman, “Preobrazovanie uravneniya Rikkati i drugikh polinomialnykh ODU k sistemam lineinykh ODU v yavnom vide”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 72, 5–14  mathnet  crossref
    2. V. V. Karachik, “Solving a problem of Robin type for biharmonic equation”, Russian Math. (Iz. VUZ), 62:2 (2018), 34–48  mathnet  crossref  isi
    3. V. V. Karachik, “A Neumann-type problem for the biharmonic equation”, Siberian Adv. Math., 27:2 (2017), 103–118  mathnet  crossref  crossref  elib
    4. V. V. Karachik, “Zadachi Koshi i Gursa dlya uravneniya 3-go poryadka”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:2 (2015), 31–43  mathnet  elib
    5. E. Yu. Chistyakov, “O resheniyakh volnovogo uravneniya s mladshim chlenom”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:4 (2015), 74–76  mathnet  crossref  elib
    6. V. V. Karachik, “Method for constructing solutions of linear ordinary differential equations with constant coefficients”, Comput. Math. Math. Phys., 52:2 (2012), 219–234  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. V. V. Karachik, “Polinomialnye resheniya differentsialnykh uravnenii v chastnykh proizvodnykh s postoyannymi koeffitsientami II”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 5, 27–38  mathnet
    8. V. V. Karachik, N. A. Antropova, “Postroenie polinomialnykh reshenii zadachi Dirikhle dlya bigarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 5, 39–50  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:84
     
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