Universiti Teknologi Malaysia Institutional Repository

On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments

Muminov, M. I. (2017) On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments. Advances in Difference Equations, 2017 (1). ISSN 1687-1839

[img]
Preview
PDF
3MB

Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....

Abstract

This paper provides a method of finding periodical solutions of the second-order 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 2n-periodic solvable problem to a system of n+ 1 linear equations. Furthermore, by applying the well-known properties of a linear system in the algebra, all existence conditions are described for 2n-periodical 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

Repository Staff Only: item control page