Theory of singular perturbations with a~non-smooth spectrum of the~limit operator
Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 951-966
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This work is devoted to the development of the regularization method [1] for the case where the spectrum of the limit variable operator has non-smooth singularities. The case will be investigated where one of the eigenvalues of the limit operator $A(t)$ vanishes identically on certain sections of the segment [0, T], and the approach to these sections has a polynomial singularity. Such problems arise in the radio and impulse technologies.
@article{SM_1995_186_7_a2,
author = {A. G. Eliseev},
title = {Theory of singular perturbations with a~non-smooth spectrum of the~limit operator},
journal = {Sbornik. Mathematics},
pages = {951--966},
publisher = {mathdoc},
volume = {186},
number = {7},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_186_7_a2/}
}
A. G. Eliseev. Theory of singular perturbations with a~non-smooth spectrum of the~limit operator. Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 951-966. http://geodesic.mathdoc.fr/item/SM_1995_186_7_a2/