If \(T\) is an operator on a linear topological space \(X\) on \(K\) (real or complex numbers), then a vector \(x \in X\) is called supercyclic for \(T\) whenever its projective orbit \(\{\lambda T^{n}x : \lambda \in K,\;n=1,2,3,\dots\}\) is dense in \(X\). The operator \(T\) is called supercyclic if there is some supercyclic vector for \(T\).
In the paper under review, the authors introduce a criterion to be densely supercyclic for a sequence \((T_n)\) of operators on a Baire metrizable separable linear topological space \(X\). Among other results, they also give necessary and sufficient conditions for a sequence of differential operators to be supercyclic or c-hypercyclic.