Averaging in multifrequency systems with multi-point conditions and a delay
For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution. An estimate of the error of the averaging method is obtained, which clearly depends on t...
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| Format: | Article |
| Language: | English |
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"Ion Creanga" State Pedagogical University
2024-01-01
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| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
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| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/954 |
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| _version_ | 1850100097563492352 |
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| author | Yaroslav Bihun Ihor Skutar |
| author_facet | Yaroslav Bihun Ihor Skutar |
| author_sort | Yaroslav Bihun |
| collection | DOAJ |
| description |
For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution. An estimate of the error of the averaging method is obtained, which clearly depends on the small parameter.
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| format | Article |
| id | doaj-art-7cfc8b24a61b491aa87be44bf2b003dd |
| institution | DOAJ |
| issn | 2537-6284 2587-3644 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | "Ion Creanga" State Pedagogical University |
| record_format | Article |
| series | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| spelling | doaj-art-7cfc8b24a61b491aa87be44bf2b003dd2025-08-20T02:40:21Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442024-01-0116210.36120/2587-3644.v16i2.13-24Averaging in multifrequency systems with multi-point conditions and a delayYaroslav Bihun0Ihor Skutar1Chernivtsi National University, 28 Universytetska st., Chernivtsi, UkraineChernivtsi National University, 28 Universytetska st., Chernivtsi, Ukraine For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution. An estimate of the error of the averaging method is obtained, which clearly depends on the small parameter. https://revistaust.upsc.md/index.php/acta_exacte/article/view/954multifrequency systemaveraging methodresonanceintegral delaylinearly transformed argument |
| spellingShingle | Yaroslav Bihun Ihor Skutar Averaging in multifrequency systems with multi-point conditions and a delay Acta et Commentationes: Ştiinţe Exacte şi ale Naturii multifrequency system averaging method resonance integral delay linearly transformed argument |
| title | Averaging in multifrequency systems with multi-point conditions and a delay |
| title_full | Averaging in multifrequency systems with multi-point conditions and a delay |
| title_fullStr | Averaging in multifrequency systems with multi-point conditions and a delay |
| title_full_unstemmed | Averaging in multifrequency systems with multi-point conditions and a delay |
| title_short | Averaging in multifrequency systems with multi-point conditions and a delay |
| title_sort | averaging in multifrequency systems with multi point conditions and a delay |
| topic | multifrequency system averaging method resonance integral delay linearly transformed argument |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/954 |
| work_keys_str_mv | AT yaroslavbihun averaginginmultifrequencysystemswithmultipointconditionsandadelay AT ihorskutar averaginginmultifrequencysystemswithmultipointconditionsandadelay |