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This article is cited in 2 scientific papers (total in 2 papers)
On the Continuation of Solutions of Linear Equations with Analytic Coefficients
N. A. Shananin State University of Management, Moscow
Abstract:
In the tangent space, the principal symbol of the considered class of linear differential equations with analytic coefficients determines a bundle such that, on each of its integral lines, the germ of a generalized solution at one of the points uniquely determines the germs of the solution at all other points. The cases of holonomic and nonholonomic induces distributions are considered.
Keywords:
unique continuation, solution germ.
Received: 17.01.2022
Citation:
N. A. Shananin, “On the Continuation of Solutions of Linear Equations with Analytic Coefficients”, Mat. Zametki, 111:6 (2022), 921–928; Math. Notes, 111:6 (2022), 954–960
Linking options:
https://www.mathnet.ru/eng/mzm13560https://doi.org/10.4213/mzm13560 https://www.mathnet.ru/eng/mzm/v111/i6/p921
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Abstract page: | 167 | Full-text PDF : | 21 | References: | 54 | First page: | 10 |
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