Normalization of a Periodic Delay in a Delay Differential Equation

K. Nah () and J. Wu ()
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K. Nah: York University, Department of Mathematics and Statistics
J. Wu: York University, Department of Mathematics and Statistics

A chapter in Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment, 2020, pp 143-152 from Springer

Abstract: Abstract We consider transforming the scalar delay differential equation with time-varying delay x ′ ( t ) = f ( t , x ( t ) , x ( t − τ ( t ) ) , $$\displaystyle x^{\prime }(t)=f(t,x(t),x(t-\tau (t)), $$ to a delay differential equation with a constant delay. Especially, we consider the case when τ(t) is a periodic function. Using the transformation, we identify conditions for the existence of a periodic solution of the delay differential equation with time-dependent delay.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-46306-9_10

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DOI: 10.1007/978-3-030-46306-9_10

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