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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 352, Pages 114–119 (Mi znsl622)  
Tychonoff–Schauder Theorem and the existence of bounded solutions of quasi-linear hyperbolic systems of differential equations

O. A. Ivanov

Saint-Petersburg State University
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Abstract: Tychonoff–Schauder fixed-point theorem is applied to prove the existence of bounded solutions of systems of ordinary differential equations which are $C^0$-close to linear hyperbolic systems. Bibl. – 3 titles.
Received: 18.12.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 153, Issue 1, Pages 47–50
DOI: https://doi.org/10.1007/s10958-008-9118-z
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. A. Ivanov, “Tychonoff–Schauder Theorem and the existence of bounded solutions of quasi-linear hyperbolic systems of differential equations”, Investigations in topology. Part 12, Zap. Nauchn. Sem. POMI, 352, POMI, St. Petersburg, 2008, 114–119; J. Math. Sci. (N. Y.), 153:1 (2008), 47–50
Citation in format AMSBIB
\Bibitem{Iva08}
\by O.~A.~Ivanov
\paper Tychonoff--Schauder Theorem and the existence of bounded solutions of quasi-linear hyperbolic systems of differential equations
\inbook Investigations in topology. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 352
\pages 114--119
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl622}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 153
\issue 1
\pages 47--50
\crossref{https://doi.org/10.1007/s10958-008-9118-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55949114388}
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