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 38–42 (Mi into161)  
On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation

S. Iskandarov

Institute of Theoretical and Applied Mathematics of the National Academy of Sciences of the Kyrgyz Republic
Full-text PDF (253 kB)
Abstract: We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically instable. We also present a new method and an illustrating example.
Keywords: integrodifferential equation, specific asymptotic stability, method of squaring, method of shearing functions, Lyusternik–Sobolev lemma.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 683–687
DOI: https://doi.org/10.1007/s10958-018-3769-1
Bibliographic databases:
Document Type: Article
UDC: 517.968.74
MSC: 53A40, 20M15
Language: Russian
Citation: S. Iskandarov, “On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation”, 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, 38–42; J. Math. Sci. (N. Y.), 230:5 (2018), 683–687
Citation in format AMSBIB
\Bibitem{Isk17}
\by S.~Iskandarov
\paper On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation
\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 38--42
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801381}
\zmath{https://zbmath.org/?q=an:1394.45008}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 683--687
\crossref{https://doi.org/10.1007/s10958-018-3769-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044463959}
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