MATLAB Mathematics - SERC - Index of

Initial Value Problems for DDEs
Discontinuities
dde23 can solve problems with discontinuities in the history or discontinuities
in coefficients of the equations. It provides properties that enable you to supply
locations of known discontinuities and a different initial value.
Discontinuity Property Comments
At the initial value InitialY Generally the initial value yt ( 0 ) is the
t = t 0
value St ( 0 ) returned by the history
function, which is to say that the
solution is continuous at the initial
point. However, if this is not the case,
supply a different initial value using
the InitialY property.
In the history, i.e.,
the solution at
t < t 0 , or in the
equation
coefficients for
t > t 0
Jumps Provide the known locations t of the
discontinuities in a vector as the value
of the Jumps property.
State-dependent Events dde23 uses the events function you
supply to locate these discontinuities.
When dde23 finds such a discontinuity,
restart the integration to continue.
Specify the solution structure for the
current integration as the history for
the new integration. dde23 extends
each element of the solution structure
after each restart so that the final
structure provides the solution for the
whole interval of integration. If the
new problem involves a change in the
solution, use the InitialY property to
specify the initial value for the new
integration.
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