delay differential equations

Related Overviews


'delay differential equations' can also refer to...


More Like This

Show all results sharing this subject:

  • Computing


Show Summary Details

Quick Reference

Ordinary differential equations where the derivatives depend on values of the solution at the current value and several previous values of the independent variable. The simplest form is

y′(x) = f(x, y(x), y(x − τ(x))),

axb where


. To determine a solution, y(x) must be specified on an interval


where a* depends on the values taken by τ(x).

Most of the commonly used step-by-step methods for ordinary differential equations can be adapted to problems of this form, although they have not yet been developed to the same extent. It is necessary to incorporate an interpolation scheme to approximate

y(x - τ(x)

at values that will not usually coincide with a previously computed approximation.

Subjects: Computing.

Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.