Representation of solutions of a second order delay differential equation

Date

2020-07-07

Authors

Qiu, Kee
Wang, Jinrong

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study an inhomogeneous second order delay differential equation on the fractal set ℝαn (0 < α ≤ 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.

Description

Keywords

Second order delay differential equations, Delayed matrix functions, Fractal set

Citation

Qiu, K., & Wang, J. (2020). Representation of solutions of a second order delay differential equation. <i>Electronic Journal of Differential Equations, 2020</i>(72), pp. 1-20.

Rights

Attribution 4.0 International

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