Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 50–52 (Mi into163)  
On the solvability of the periodic boundary-value problem for a first-order differential equation unsolved with respect to the derivative

I. Yu. Kolpakov

Perm State National Research Polytechnical University
Full-text PDF (249 kB)
Abstract: In this paper, we obtain solvability conditions for the periodic boundary-value problem for a certain first-order differential equation unsolved with respect to the derivative. These condition were obtained by using the theorem on implicit operators.
Keywords: periodic boundary-value problem, existence of solution, theorem on implicit operators.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 695–698
DOI: https://doi.org/10.1007/s10958-018-3771-7
Bibliographic databases:
Document Type: Article
UDC: 517.929.5
MSC: 39X02
Language: Russian
Citation: I. Yu. Kolpakov, “On the solvability of the periodic boundary-value problem for a first-order differential equation unsolved with respect to the derivative”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 50–52; J. Math. Sci. (N. Y.), 230:5 (2018), 695–698
Citation in format AMSBIB
\Bibitem{Kol17}
\by I.~Yu.~Kolpakov
\paper On the solvability of the periodic boundary-value problem for a first-order differential equation unsolved with respect to the derivative
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 50--52
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801383}
\zmath{https://zbmath.org/?q=an:1398.34028}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 695--698
\crossref{https://doi.org/10.1007/s10958-018-3771-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044460126}
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