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Mathematics of the USSR-Sbornik, 1992, Volume 72, Issue 1, Pages 135–150
DOI: https://doi.org/10.1070/SM1992v072n01ABEH001266
(Mi sm1287)
 

Smoothness properties of solutions of nonlinear differential equations

P. P. Zabreiko, V. I. Nazarov

Belarusian State University
References:
Abstract: Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space.
Received: 24.01.1989
Bibliographic databases:
UDC: 517.97
MSC: Primary 34G20, 34C99; Secondary 34A34
Language: English
Original paper language: Russian
Citation: P. P. Zabreiko, V. I. Nazarov, “Smoothness properties of solutions of nonlinear differential equations”, Math. USSR-Sb., 72:1 (1992), 135–150
Citation in format AMSBIB
\Bibitem{ZabNaz91}
\by P.~P.~Zabreiko, V.~I.~Nazarov
\paper Smoothness properties of solutions of nonlinear differential equations
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 1
\pages 135--150
\mathnet{http://mi.mathnet.ru//eng/sm1287}
\crossref{https://doi.org/10.1070/SM1992v072n01ABEH001266}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72..135Z}
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Linking options:
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  • https://doi.org/10.1070/SM1992v072n01ABEH001266
  • https://www.mathnet.ru/eng/sm/v182/i2/p147
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    Математический сборник - 1991 Sbornik: Mathematics
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    Abstract page:404
    Russian version PDF:149
    English version PDF:15
    References:67
    First page:1
     
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