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This article is cited in 4 scientific papers (total in 4 papers)
Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. I, II
A. G. Eliseev
Abstract:
A method is studied for constructing a regularized asymptotic expression for the solution of a Cauchy problem in the case of a multiple spectrum. The paper consists of two parts. The first part deals with the case when the operator is similar to a single Jordan cell, and the second with the case when the operator is similar to an operator with several Jordan cells. In both cases the structure matrix does not have degeneracies. The structure of a fundamental system of solutions is presented.
Bibliography: 13 titles.
Received: 22.01.1982
Citation:
A. G. Eliseev, “Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. I, II”, Izv. Akad. Nauk SSSR Ser. Mat., 48:5 (1984), 999–1041; Math. USSR-Izv., 25:2 (1985), 315–357
Linking options:
https://www.mathnet.ru/eng/im1505https://doi.org/10.1070/IM1985v025n02ABEH001284 https://www.mathnet.ru/eng/im/v48/i5/p999
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Abstract page: | 377 | Russian version PDF: | 138 | English version PDF: | 24 | References: | 80 | First page: | 1 |
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