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Article
Abstract Volterra equations in locally convex spaces
A general class of (a, k)-regularized C-resolvent families is one of efficient research tools for dealing with non-degenerate abstract Volterra equations of scalar type. The main purpose of this expository paper ...
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Article
Abstract time-fractional equations: Existence and growth of solutions
We contribute to the existence theory of abstract time-fractional equations by stating the sufficient conditions for generation of not exponentially bounded α-times C-regularized resolvent families (α > 1) in seq...
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Article
Differential and Analytical Properties of Semigroups of Operators
We systematically analyze differential and analytical properties of various kinds of semigroups of linear operators, including (local) convoluted C-semigroups and ultradistribution semigroups. The study of differ...