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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 191, Pages 38–46 (Mi into764)
Initialization problem for singularly perturbed integro-differential and integral Volterra equations of the second kind

A. G. Eliseev, T. A. Ratnikova, D. A. Shaposhnikova

National Research University "Moscow Power Engineering Institute"

Abstract: The initialization problem for singularly perturbed integro-differential and integral systems of Volterra equations of the second kind is solved by the Lomov regularization method.

Keywords: singular perturbation, initialization problem, regularization method, Volterra integro-differential equation.

UDC: 517.95

MSC: 34K26, 34E20

DOI: 10.36535/0233-6723-2021-191-38-46


© Steklov Math. Inst. of RAS, 2024