Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis
In this paper, we use the averaging method to find an approximate solution for the optimal control of parabolic differential inclusion with fast-oscillating coefficients on a semi-axis.
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MDPI AG
2025-01-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/1/74 |
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| author | Nina Kasimova Petro Feketa |
| author_facet | Nina Kasimova Petro Feketa |
| author_sort | Nina Kasimova |
| collection | DOAJ |
| description | In this paper, we use the averaging method to find an approximate solution for the optimal control of parabolic differential inclusion with fast-oscillating coefficients on a semi-axis. |
| format | Article |
| id | doaj-art-9c0f23cb266747b08e5e3f584e900c28 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-9c0f23cb266747b08e5e3f584e900c282025-01-24T13:22:20ZengMDPI AGAxioms2075-16802025-01-011417410.3390/axioms14010074Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-AxisNina Kasimova0Petro Feketa1Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, 4E Academician Glushkov Avenue, 03127 Kyiv, UkraineSchool of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New ZealandIn this paper, we use the averaging method to find an approximate solution for the optimal control of parabolic differential inclusion with fast-oscillating coefficients on a semi-axis.https://www.mdpi.com/2075-1680/14/1/74parabolic differential inclusionoptimal controlaveraging methodapproximate solution |
| spellingShingle | Nina Kasimova Petro Feketa Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis Axioms parabolic differential inclusion optimal control averaging method approximate solution |
| title | Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis |
| title_full | Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis |
| title_fullStr | Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis |
| title_full_unstemmed | Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis |
| title_short | Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis |
| title_sort | application of the averaging method to the optimal control of parabolic differential inclusions on the semi axis |
| topic | parabolic differential inclusion optimal control averaging method approximate solution |
| url | https://www.mdpi.com/2075-1680/14/1/74 |
| work_keys_str_mv | AT ninakasimova applicationoftheaveragingmethodtotheoptimalcontrolofparabolicdifferentialinclusionsonthesemiaxis AT petrofeketa applicationoftheaveragingmethodtotheoptimalcontrolofparabolicdifferentialinclusionsonthesemiaxis |