Photo from archive.org
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)$x''(t)+px''(t-1)=qx(2[\frac{t+1}{2}])+f(t)$, where [⋅]$[\cdot]$ denotes the greatest integer… Click to show full 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)$x''(t)+px''(t-1)=qx(2[\frac{t+1}{2}])+f(t)$, where [⋅]$[\cdot]$ 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$n+1$ 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.
Journal Title: Advances in Difference Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!