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http://hdl.handle.net/11701/43834
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Baskov, Oleg V. | - |
dc.contributor.author | Potapov, Dmitriy K. | - |
dc.date.accessioned | 2023-08-22T17:42:16Z | - |
dc.date.available | 2023-08-22T17:42:16Z | - |
dc.date.issued | 2023-06 | - |
dc.identifier.citation | Baskov O. V., Potapov D. K. Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 2, pp. 275–282. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2023.212 | - |
dc.identifier.uri | http://hdl.handle.net/11701/43834 | - |
dc.description.abstract | We consider the Sturm — Liouville problem with discontinuous nonlinearity, control and perturbation. Previously obtained results for equations with a spectral parameter and a discontinuous operator are applied to this problem. By the variational method, we have established theorems on the existence of solutions to the Sturm — Liouville problem with discontinuous nonlinearity and to the optimal control problem, as well as on topological properties of the set of the acceptable “control — state” pairs. A one-dimensional analog of the Gol’dshtik model for separated flows of an incompressible fluid with control and perturbation is given as an application. | en_GB |
dc.description.sponsorship | This research was funded by Russian Science Foundation {project N 23-21-00069), https://rscf.ru/en/project/23-21-00069/ | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 2 | - |
dc.subject | Sturm—Liouville’s problem | en_GB |
dc.subject | discontinuous nonlinearity | en_GB |
dc.subject | control problems | en_GB |
dc.subject | variational method | en_GB |
dc.subject | Gol’dshtik’s model | en_GB |
dc.title | Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
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