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|a Muminov, M. I.
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|a Murid, A. H. M.
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|a Existence conditions for periodic solutions of second-order neutral delay differential equations with piecewise constant arguments
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|b De Gruyter,
|c 2020-01.
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/87777/1/Mukhiddin%C3%89Muminov2020_ExistenceConditionsforPeriodicSolutions.pdf
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|a In this paper, we describe a method to solve the problem of finding periodic solutions for second-order neutral delay-differential equations with piecewise constant arguments of the form x"(t) + px"(t-1) = qx([t]) + f(t), where [-] denotes the greatest integer function, p and q are nonzero real or complex constants, and f(t) is complex valued periodic function. The method reduces the problem to a system of algebraic equations. We give explicit formula for the solutions of the equation. We also give counter examples to some previous findings concerning uniqueness of solution.
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|a QA Mathematics
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