4 citations · 27 across the 22 of their papers we have counts for
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one
Marat V. Markin
It is shown that, if all weak solutions of the evolution equation \begin{equation*} y'(t)=Ay(t),\ t\ge0, \end{equation*} with a scalar type spectral operator in a complex Banac…
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator
Marat V. Markin
Found are conditions on a scalar type spectral operator in a complex Banach space necessary and sufficient for all weak solutions of the evolution equation \begin{equation*} y'…
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis
Marat V. Markin
Given the abstract evolution equation \[ y'(t)=Ay(t),\ t\ge 0, \] with scalar type spectral operator in a complex Banach space, found are conditions necessary and sufficient fo…
On the mean ergodicity of weak solutions of an abstract evolution equation
Marat V. Markin
Found are conditions of rather general nature sufficient for the existence of the limit at infinity of the Cesàro means \begin{equation*} \frac{1}{t} \int_0^ty(s)\,ds \end{equation…