A general formulation is given for ignition in nonpremixed systems involving time-dependent mixing of fuel and oxidizer streams that experience both strain and time-varying pressure, subject to one-step, Arrhenius chemistry. From this general formulation, a number of specific situations are identified that require separate ignition-stage analyses. These ignition-stage analyses are completed for those cases that appear to be of greatest relevance to autoignition in Diesel engines. The resulting ignition times may thus be employed in arriving at estimates of Diesel ignition.