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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., 2023 Volume 223, Pages 79–83 (Mi into1157)

Well-posed boundary two-point problems for systems of partial differential equations

А. А. Makarov, I. G. Nikolenko

V. N. Karazin Kharkiv National University

Abstract: In this paper, we examine systems of partial differential equations that admit well-posed two-point problems in the Schwartz space, in particular, systems with Hermitian matrices, well-posed systems in the Petrovsky sense, and also systems with a one space variable.

Keywords: boundary-value problem, Fourier transform, Schwartz space, resolution matrix.

UDC: 517.954

MSC: 35A01

DOI: 10.36535/0233-6723-2023-223-79-83



© Steklov Math. Inst. of RAS, 2024