Representation of solutions of a second order delay differential equation
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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