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math.FA2022
Abstract evolution equations with an operator function in the second term
Maksim V. Kukushkin
In this paper, having introduced a convergence of a series on the root vectors in the Abel-Lidskii sense, we present a valuable application to the evolution equations. The main iss…
math.FA2022
Evolution Equations in Hilbert Spaces via the Lacunae Method
Maksim V. Kukushkin
In this paper we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation. We establis…