  In this paper notions of strong specification property and quasi-weak
specification property for non-autonomous discrete systems are introduced and
studied. It is shown that these properties are dynamical properties and are
preserved under finite product. It is proved that a k-periodic non-autonomous
system on intervals having weak specification is Devaney chaotic whereas if the
system has strong specification then the result is true in general.
Specification properties of induced systems on hyperspaces and probability
measures spaces are also studied. Examples/counter examples are provided
wherever necessary to support results obtained.
