Muminov, M. I. (2017) On the method of finding periodic solutions of secondorder neutral differential equations with piecewise constant arguments. Advances in Difference Equations, 2017 (1). ISSN 16871839

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Abstract
This paper provides a method of finding periodical solutions of the secondorder neutral delay differential equations with piecewise constant arguments of the form x″(t)+px″(t−1)=qx(2[t+12])+f(t), where [ ⋅ ] denotes the greatest integer function, p and q are nonzero constants, and f is a periodic function of t. This reduces the 2nperiodic solvable problem to a system of n+ 1 linear equations. Furthermore, by applying the wellknown properties of a linear system in the algebra, all existence conditions are described for 2nperiodical solutions that render explicit formula for these solutions.
Item Type:  Article 

Uncontrolled Keywords:  differential equation, periodic solution, piecewise constant argument 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  74839 
Deposited By:  Fazli Masari 
Deposited On:  07 Mar 2018 21:13 
Last Modified:  07 Mar 2018 21:13 
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