Comparison criteria for first order polynomial differential equations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916283357855744 |
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| author | Grigorian, G. A. |
| author_facet | Grigorian, G. A. |
| contents | In this paper we use the comparison method for investigation of first order polynomial differential equations. We prove two comparison criteria for these equations. The proved criteria we use to obtain some global solvability criteria for first order polynomial differential equations. On the basis of these criteria we prove some criteria for existence of a closed solution (of closed solutions) of for first order polynomial differential equations. The results obtained we compare with some known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparison criteria for first order polynomial differential equations Grigorian, G. A. Classical Analysis and ODEs 34D20 F.2.2; I.2.7 In this paper we use the comparison method for investigation of first order polynomial differential equations. We prove two comparison criteria for these equations. The proved criteria we use to obtain some global solvability criteria for first order polynomial differential equations. On the basis of these criteria we prove some criteria for existence of a closed solution (of closed solutions) of for first order polynomial differential equations. The results obtained we compare with some known results. |
| title | Comparison criteria for first order polynomial differential equations |
| topic | Classical Analysis and ODEs 34D20 F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2405.06273 |