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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 5, Pages 491–497
DOI: https://doi.org/10.17586/2220-8054-2022-13-5-491-497 (Mi nano1130) 		 
MATHEMATICS

On existence conditions for periodic solutions to a differential equation with constant argument

Mukhiddin I. Muminovab, Tirkash A. Radjabova

a Samarkand State University, Samarkand, Uzbekistan
b V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of sciences, Tashkent, Uzbekistan
Full-text PDF (268 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-5-491-497
Abstract: We deal with a linear differential equation with piecewise constant argument. The considered equation with the initial condition has the unique solution. We obtain the sufficient conditions for existence of $n$-periodic solution for the considered problem and describe the positivity conditions for the solution.
Keywords: partial differential equation, piecewise constant arguments, periodic solution, asymptotically stable.
Funding agency Grant number
Fundamental Science Foundation of Uzbekistan FZ-20200929224
Authors were partially supported by [grant number FZ-20200929224] of Fundamental Science Foundation of Uzbekistan.
Received: 28.09.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Mukhiddin I. Muminov, Tirkash A. Radjabov, “On existence conditions for periodic solutions to a differential equation with constant argument”, Nanosystems: Physics, Chemistry, Mathematics, 13:5 (2022), 491–497
Citation in format AMSBIB
\Bibitem{MumRad22}
\by Mukhiddin~I.~Muminov, Tirkash~A.~Radjabov
\paper On existence conditions for periodic solutions to a differential equation with constant argument
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 5
\pages 491--497
\mathnet{http://mi.mathnet.ru/nano1130}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-5-491-497}
\elib{https://elibrary.ru/item.asp?id=49622599}
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