Muminov, M. I. and Murid, A. H. M. (2020) Existence conditions for periodic solutions of secondorder neutral delay differential equations with piecewise constant arguments. Open Mathematics, 8 (1). pp. 93105. ISSN 23915455

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Official URL: http://www.dx.doi.org/10.1515/math20200010
Abstract
In this paper, we describe a method to solve the problem of finding periodic solutions for secondorder neutral delaydifferential equations with piecewise constant arguments of the form x″(t) + px″(t1) = 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.
Item Type:  Article 

Uncontrolled Keywords:  differential equation, periodic solution, piecewise constant argument 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  87777 
Deposited By:  Narimah Nawil 
Deposited On:  30 Nov 2020 13:20 
Last Modified:  30 Nov 2020 13:20 
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