Systems of equations in differentials with generalised derivatives of continuous functions
Herein, we investigate systems of nonautonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of nonautonomous differential equations with generalized coefficients as a system of equations in differentials in the algebra of...
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| Format: | Article |
| Language: | Belarusian |
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Belarusian State University
2024-12-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
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| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/6233 |
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| author | Анастасия Игоревна Жук Елена Николаевна Защук |
| author_facet | Анастасия Игоревна Жук Елена Николаевна Защук |
| author_sort | Анастасия Игоревна Жук |
| collection | DOAJ |
| description | Herein, we investigate systems of nonautonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of nonautonomous differential equations with generalized coefficients as a system of equations in differentials in the algebra of new generalised functions. The solution of such a system is a new generalised function. It is shown that the different interpretations of the solutions of the given systems can be described by a unique approach of the algebra of new generalised functions. In this paper, for the first time in the literature, we describe associated solutions of the system of nonautonomous differential equations with continuous generalized coefficients in the space L(T). |
| format | Article |
| id | doaj-art-3ddad1e5de314dc8907339045f6fbbca |
| institution | DOAJ |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| publishDate | 2024-12-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj-art-3ddad1e5de314dc8907339045f6fbbca2025-08-20T02:53:33ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562024-12-01322306233Systems of equations in differentials with generalised derivatives of continuous functionsАнастасия Игоревна Жук0Елена Николаевна Защук1Brest State Technical University, 267 Maskowskaja Street, Brest 224023, BelarusBrest State Technical University, 267 Maskowskaja Street, Brest 224023, BelarusHerein, we investigate systems of nonautonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of nonautonomous differential equations with generalized coefficients as a system of equations in differentials in the algebra of new generalised functions. The solution of such a system is a new generalised function. It is shown that the different interpretations of the solutions of the given systems can be described by a unique approach of the algebra of new generalised functions. In this paper, for the first time in the literature, we describe associated solutions of the system of nonautonomous differential equations with continuous generalized coefficients in the space L(T).https://journals.bsu.by/index.php/mathematics/article/view/6233algebra of new generalised functionsdifferential equations with generalised coefficientsfunctions of finite variation |
| spellingShingle | Анастасия Игоревна Жук Елена Николаевна Защук Systems of equations in differentials with generalised derivatives of continuous functions Журнал Белорусского государственного университета: Математика, информатика algebra of new generalised functions differential equations with generalised coefficients functions of finite variation |
| title | Systems of equations in differentials with generalised derivatives of continuous functions |
| title_full | Systems of equations in differentials with generalised derivatives of continuous functions |
| title_fullStr | Systems of equations in differentials with generalised derivatives of continuous functions |
| title_full_unstemmed | Systems of equations in differentials with generalised derivatives of continuous functions |
| title_short | Systems of equations in differentials with generalised derivatives of continuous functions |
| title_sort | systems of equations in differentials with generalised derivatives of continuous functions |
| topic | algebra of new generalised functions differential equations with generalised coefficients functions of finite variation |
| url | https://journals.bsu.by/index.php/mathematics/article/view/6233 |
| work_keys_str_mv | AT anastasiâigorevnažuk systemsofequationsindifferentialswithgeneralisedderivativesofcontinuousfunctions AT elenanikolaevnazaŝuk systemsofequationsindifferentialswithgeneralisedderivativesofcontinuousfunctions |