On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We prove the existence of a non-decreasing solution of a homogeneous system of generalized Wiener–Hopf equations and establish asymptotic properties of this solution.

Keywords: system of integral equations, homogeneous system of Wiener–Hopf equations, matrix of measures, matrix reconstruction function, asymptotic behaviour.

UDC: 517.968

MSC: Primary 45E10; Secondary 47B35

Received: 16.01.2008
Revised: 25.07.2008

DOI: 10.4213/im2760

 English version: Izvestiya: Mathematics, 2010, 74:3, 595–606

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