Self-stochasticity in deterministic boundary value problems
This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the c...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 1999 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
1999
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169290 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Self-stochasticity in deterministic boundary value problems / E.Yu. Romanenko, A.N. Sharkovsky, M.B. Vereikina // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 174-184. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862638731493638144 |
|---|---|
| author | Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B. |
| author_facet | Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B. |
| citation_txt | Self-stochasticity in deterministic boundary value problems / E.Yu. Romanenko, A.N. Sharkovsky, M.B. Vereikina // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 174-184. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the concept of self-stochasticity had been suggested. The results reported in this work are concerned linear systems of PDE with nonlinear boundary conditions; general ideas on the manner in which chaotic solutions may be described are set forth by the example of several simplest boundary value problems.
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| first_indexed | 2025-12-01T00:34:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169290 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-01T00:34:30Z |
| publishDate | 1999 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B. 2020-06-09T16:48:28Z 2020-06-09T16:48:28Z 1999 Self-stochasticity in deterministic boundary value problems / E.Yu. Romanenko, A.N. Sharkovsky, M.B. Vereikina // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 174-184. — Бібліогр.: 14 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169290 This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the concept of self-stochasticity had been suggested. The results reported in this work are concerned linear systems of PDE with nonlinear boundary conditions; general ideas on the manner in which chaotic solutions may be described are set forth by the example of several simplest boundary value problems. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Self-stochasticity in deterministic boundary value problems Article published earlier |
| spellingShingle | Self-stochasticity in deterministic boundary value problems Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B. |
| title | Self-stochasticity in deterministic boundary value problems |
| title_full | Self-stochasticity in deterministic boundary value problems |
| title_fullStr | Self-stochasticity in deterministic boundary value problems |
| title_full_unstemmed | Self-stochasticity in deterministic boundary value problems |
| title_short | Self-stochasticity in deterministic boundary value problems |
| title_sort | self-stochasticity in deterministic boundary value problems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169290 |
| work_keys_str_mv | AT romanenkoeyu selfstochasticityindeterministicboundaryvalueproblems AT sharkovskyan selfstochasticityindeterministicboundaryvalueproblems AT vereikinamb selfstochasticityindeterministicboundaryvalueproblems |