On the existence of a solution of a homogeneous system of generalized Wiener--Hopf equations
Izvestiya. Mathematics , Tome 74 (2010) no. 3, pp. 595-606
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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.
@article{IM2_2010_74_3_a6,
author = {M. S. Sgibnev},
title = {On the existence of a solution of a homogeneous system of generalized {Wiener--Hopf} equations},
journal = {Izvestiya. Mathematics },
pages = {595--606},
publisher = {mathdoc},
volume = {74},
number = {3},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2010_74_3_a6/}
}
TY - JOUR AU - M. S. Sgibnev TI - On the existence of a solution of a homogeneous system of generalized Wiener--Hopf equations JO - Izvestiya. Mathematics PY - 2010 SP - 595 EP - 606 VL - 74 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2010_74_3_a6/ LA - en ID - IM2_2010_74_3_a6 ER -
M. S. Sgibnev. On the existence of a solution of a homogeneous system of generalized Wiener--Hopf equations. Izvestiya. Mathematics , Tome 74 (2010) no. 3, pp. 595-606. http://geodesic.mathdoc.fr/item/IM2_2010_74_3_a6/