New general solutions of ordinary differential equations and the methods of solving the boundary-value problems
UDC 517.624 New general solutions of ordinary differential equations are introduced and their properties are established. We develop new methods of solving the boundary-value problems based on the construction and solving of the systems of algebraic equations for arbitrary vectors of the general so...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1483 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.624
New general solutions of ordinary differential equations are introduced and their properties are established. We develop
new methods of solving the boundary-value problems based on the construction and solving of the systems of algebraic
equations for arbitrary vectors of the general solutions. An approach to finding the initial approximation to the solution of
a nonlinear boundary-value problem is proposed. |
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