STEPSIZE CONTROL AND CONTINUITY CONSISTENCY FOR STATE-DEPENDENT DELAY-DIFFERENTIAL EQUATIONS

[摘要] Derivative discontinuities occur frequently in the solutions of delay-differential equations, even when the functions defining them are all C(infinity). Unless correctly treated, such discontinuities can undermine the continuity assumptions made by ODE software. In this paper we discuss some specific difficulties arising from this aspect in the treatment of state-dependent problems. A necessary property, continuity consistency, is introduced along with a class of methods for which it is satisfied.

[发布日期] 1994-08-19

[关键词] STATE-DEPENDENT DELAY-DIFFERENTIAL EQUATIONS;DERIVATIVE DISCONTINUITIES;VARIABLE-STEP LINEAR MULTISTEP METHODS;CONTINUITY CONSISTENCY