We propose and study resonant ladder schemes of inversionless lasing on a f
ast-decaying transition when the population inversion is not possible or Ve
ry difficult to achieve. The driving field on a neighboring, slowly decayin
g transition is not imposed externally, but is self generated in the same a
ctive medium. Inversionless lasing in such schemes avoids the problem of dr
iving-field absorption and leads to considerable reduction in the required
pumping rate. Applications of such schemes include inversionless ultraviole
t and soft x-ray lasing in gas lasers and inversionless generation of coher
ent mid/far-infrared emission on intersubband (interlevel) transitions in m
ultiple quantum-well or quantum-dot laser diodes.