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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 195, Pages 139–141 (Mi into842)
Solution of a second-kind integro-functional Abel equation

E. Chaplygina

Orel State University named after I. S. Turgenev

Abstract: We examine an integro-functional equation with a weakly polar integral operator with non-Carleman shifts of retarded and advancing type. The unique solvability of the problem is proved.

Keywords: Abel equation, matrix equation, mutually inverse diffeomorphisms.

UDC: 517.956.6

MSC: 39B05

DOI: 10.36535/0233-6723-2021-195-139-141


© Steklov Math. Inst. of RAS, 2025