Cramer's rule for implicit linear differential equations over a non-Archimedean ring
We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero. This equation has infinite many solutions in this ring -- one for each initial condition of the corresponding Cauchy problem. These soluti...
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| Format: | Article |
| Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2022-06-01
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| Series: | Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika |
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| Online Access: | https://periodicals.karazin.ua/mech_math/article/view/20906 |