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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., 2022 Volume 211, Pages 3–13 (Mi into1021)
Boundary-value problem for an integro-differential equation of mixed type

A. T. Assanovaa, E. A. Bakirovaa, A. E. Imanchievba

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
b K. Zhubanov Aktobe Regional State University

Abstract: For a two-point boundary-value problem for a system of integro-differential equations of mixed type, we obtain conditions for unique solvability in terms of the solvability of the Cauchy problem and a hybrid system.

Keywords: two-point boundary-value problem, integro-differential equation of mixed type, degenerate kernel, parametrization method, solvability.

UDC: 517.968.74

MSC: 34K10, 34K40, 45B05, 45D05, 45J05

DOI: 10.36535/0233-6723-2022-211-3-13


© Steklov Math. Inst. of RAS, 2024