Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 72, pp. 1-20

Title: Representation of solutions of a second order delay differential equation 
       
Authors: Kee Qiu      (Guizhou Education Univ., Guiyang, Guizhou, China)
         Jinrong Wang (Guizhou Education Univ., Guiyang, Guizhou, China)

Abstract:
 In this article, we study an inhomogeneous second order delay differential equation
 on the fractal set $\mathbb{R}^{\alpha n}$ $(0<\alpha\leq 1)$, based on the theory of
 local calculus. We introduce delay cosine and sine type matrix functions
 and give their properties on the fractal set. We give the representation of solutions
 to  second order differential equations with pure delay and two delays.
 
Submitted March 24, 2020. Published July 07, 2020.
Math Subject Classifications: 26A33,  28A80, 34A34.
Key Words: Second order delay differential equations; delayed matrix functions; 
           fractal set.