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Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 3, Pages 116–123 (Mi iigum122)  
This article is cited in 2 scientific papers (total in 2 papers)

An uniformization and successive approximation of solutions of nonlinear equations with vector parameter

R. Y. Leontyev, N. A. Sidorov

Irkutsk State University, 1, K. Marks St., Irkutsk, 664003
Full-text PDF (256 kB) Citations (2)
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Abstract: We consider a nonlinear operator equation with a Fredholm linear operator in the leading part, depending on small vector parameter. We have proposed the way of construction the solutions. Theory is applied for investigation of the boundary problem of buckling imperfection sensitivity of columns.
Keywords: ramification of solutions, Fredholm operator, asymptotics, successive approximations, boundary problem.
Document Type: Article
UDC: 517.988.67
Language: Russian
Citation: R. Y. Leontyev, N. A. Sidorov, “An uniformization and successive approximation of solutions of nonlinear equations with vector parameter”, Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011), 116–123
Citation in format AMSBIB
\Bibitem{LeoSid11}
\by R.~Y.~Leontyev, N.~A.~Sidorov
\paper An uniformization and successive approximation of solutions of nonlinear equations with vector parameter
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 3
\pages 116--123
\mathnet{http://mi.mathnet.ru/iigum122}
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  • https://www.mathnet.ru/eng/iigum122
  • https://www.mathnet.ru/eng/iigum/v4/i3/p116
    • This publication is cited in the following 2 articles:
    1. R. Yu. Leontev, “O malykh resheniyakh nelineinykh operatornykh uravnenii s neobratimym operatorom v glavnoi chasti”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 212, VINITI RAN, M., 2022, 57–63  mathnet  crossref
    2. R. Yu. Leontev, “Minimalnye vetvi reshenii nelineinykh operatornykh uravnenii v banakhovykh prostranstvakh”, Differentsialnye uravneniya i optimalnoe upravlenie, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 183, VINITI RAN, M., 2020, 113–119  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :106
    References:50
     
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