One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
A recursive method for the investigation of the fundamental solution of the Cauchy problem for parabolic Shilov systems with time-dependent coefficients is proposed. It is based on the general formula for the solution of linear inhomogeneous systems of differential equations of the first order and d...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1596 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | A recursive method for the investigation of the fundamental solution of the Cauchy problem for parabolic Shilov systems
with time-dependent coefficients is proposed. It is based on the general formula for the solution of linear inhomogeneous
systems of differential equations of the first order and does not require the use of the genus of the analyzed system. |
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