Exercise 5

Example 4 of [23] solves the equation

y¢(t) = y(t-1)

on [0,1] with history y(t) = (-1)^{[- 5t ]} for t £ 0. For s > 0, the function [s] is floor(s) in MATLAB. The history has jump discontinuities prior to t = 0 that must be set in 'Jumps'. With a delay of 1, only jumps that occur at t ³ -1 can have an effect in [0,1].

Reference

[23]

D.R. Willé and C.T.H. Baker, DELSOL - a numerical code for the solution of systems of delay-differential equations, Appl. Numer. Math., 9 (1992) 223-234.