Generalized System of Riccati-Type Equations
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established. Inverse mapping from the solutions of generalized Riccati-type equations on...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817302019 |
| _version_ | 1818905187989848064 |
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| author | Yamaleev Robert M. |
| author_facet | Yamaleev Robert M. |
| author_sort | Yamaleev Robert M. |
| collection | DOAJ |
| description | A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established. Inverse mapping from the solutions of generalized Riccati-type equations onto the linearly independent solutions of the n-th order differential equation is constructed. |
| first_indexed | 2024-12-19T21:19:21Z |
| format | Article |
| id | doaj.art-3ad657b71927492ca44802ca9a0837c5 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-19T21:19:21Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-3ad657b71927492ca44802ca9a0837c52022-12-21T20:05:16ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011730201910.1051/epjconf/201817302019epjconf_mmcp2018_02019Generalized System of Riccati-Type EquationsYamaleev Robert M.A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established. Inverse mapping from the solutions of generalized Riccati-type equations onto the linearly independent solutions of the n-th order differential equation is constructed.https://doi.org/10.1051/epjconf/201817302019 |
| spellingShingle | Yamaleev Robert M. Generalized System of Riccati-Type Equations EPJ Web of Conferences |
| title | Generalized System of Riccati-Type Equations |
| title_full | Generalized System of Riccati-Type Equations |
| title_fullStr | Generalized System of Riccati-Type Equations |
| title_full_unstemmed | Generalized System of Riccati-Type Equations |
| title_short | Generalized System of Riccati-Type Equations |
| title_sort | generalized system of riccati type equations |
| url | https://doi.org/10.1051/epjconf/201817302019 |
| work_keys_str_mv | AT yamaleevrobertm generalizedsystemofriccatitypeequations |