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http://hdl.handle.net/11701/22457
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Khachatryan, Khachatur A. | - |
dc.contributor.author | Petrosyan, Haykanush S. | - |
dc.date.accessioned | 2021-01-19T13:35:04Z | - |
dc.date.available | 2021-01-19T13:35:04Z | - |
dc.date.issued | 2020-12 | - |
dc.identifier.citation | Khachatryan Kh. A., Petrosyan H. S. On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 4, pp. 423–436. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2020.407 | - |
dc.identifier.uri | http://hdl.handle.net/11701/22457 | - |
dc.description.abstract | The article considers a boundary value problem for a class of singular integral equations with an almost total-difference kernel and convex nonlinearity on the positive half-line. This problem arises in the dynamic theory of p-adic open-closed strings. It is proved that any nonnegative and bounded solution of a given boundary value problem is a continuous function and the difference between the limit and the solution is itself an integrable function on the positive half-line. For a particular case, it is proved that the solution is a monotonically non-decreasing function. A uniqueness theorem is established in the class of nonnegative and bounded functions. At the conclusion of the article, a specific applied example of this boundary problem is given. | en_GB |
dc.description.sponsorship | This work was supported by the Russian Science Foundation (project N 19-11-00223). | 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 16; Issue 4 | - |
dc.subject | boundary value problem | en_GB |
dc.subject | convexity | en_GB |
dc.subject | continuity | en_GB |
dc.subject | summability | en_GB |
dc.subject | monotonicity | en_GB |
dc.subject | solution limit | en_GB |
dc.title | On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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Файл | Описание | Размер | Формат | |
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423-436.pdf | 424,24 kB | Adobe PDF | Просмотреть/Открыть |
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