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MATHEMATICS

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

Mukhiddin I. Muminov^ab, Tirkash A. Radjabov<sup>a

a</sup> Samarkand State University, Samarkand, Uzbekistan
^b V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of sciences, Tashkent, Uzbekistan

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.

Received: 28.09.2022

Language: English

DOI: 10.17586/2220-8054-2022-13-5-491-497

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