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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 1, Pages 78–88 (Mi iigum8)  

This article is cited in 2 scientific papers (total in 2 papers)

A existance and a stability of solutions for semilinear Sobolev type equations in relatively radial case

M. A. Sagadeeva

South Ural State University, 76, Lenina Av., Chelyabinsk, 454080
Full-text PDF (271 kB) Citations (2)
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Abstract: The unique solvability of the Cauchy problem for a semilinear Sobolev type equation with respect to $p$-radial operators studied in this paper. Stability of the solutions in the neighborhood of zero has been studied for these equations.
Keywords: semilinear Sobolev type equations, theorem of Hadamar–Perron, stable and unstable manifold of solutions.
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. A. Sagadeeva, “A existance and a stability of solutions for semilinear Sobolev type equations in relatively radial case”, Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 78–88
Citation in format AMSBIB
\Bibitem{Sag13}
\by M.~A.~Sagadeeva
\paper A existance and a stability of solutions for semilinear Sobolev type equations in relatively radial case
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2013
\vol 6
\issue 1
\pages 78--88
\mathnet{http://mi.mathnet.ru/iigum8}
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  • https://www.mathnet.ru/eng/iigum8
  • https://www.mathnet.ru/eng/iigum/v6/i1/p78
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :73
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