Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 127-136
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L. N. Nikol'skaya. Stability of eigenvalues of some singular integral equations under compact perturbations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 127-136. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a8/
@article{ZNSL_1984_138_a8,
author = {L. N. Nikol'skaya},
title = {Stability of eigenvalues of some singular integral equations under compact perturbations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--136},
year = {1984},
volume = {138},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a8/}
}
TY - JOUR
AU - L. N. Nikol'skaya
TI - Stability of eigenvalues of some singular integral equations under compact perturbations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 127
EP - 136
VL - 138
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a8/
LA - ru
ID - ZNSL_1984_138_a8
ER -
%0 Journal Article
%A L. N. Nikol'skaya
%T Stability of eigenvalues of some singular integral equations under compact perturbations
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 127-136
%V 138
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a8/
%G ru
%F ZNSL_1984_138_a8
We find some necessary and sufficient conditions on the symbol $s(A)$ of a singular integral operator $A$ (or a Wiener-Hopf operator, or an operator of a system of dual integral equations) for the equations $(A+C)f=\lambda f$ have notrivial solutions for every compact perturbation $C$.
