Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity
We study the behavior of solutions of the Cauchy problem εu"(t)+u'(t) + Au(t)+B(u(t)) = f(t), u(0) = u₀, u'(0) = u₁ in the Hilbert space H as ε → 0, where A is a linear, self-adjoint, strong positive operator B is nonlinear Lipschitzian operator.
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| Published in: | Нелинейные граничные задачи |
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| Date: | 2005 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169157 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity / A. Perjan // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 99-107. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540458372104192 |
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| author | Perjan, A. |
| author_facet | Perjan, A. |
| citation_txt | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity / A. Perjan // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 99-107. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | We study the behavior of solutions of the Cauchy problem εu"(t)+u'(t) + Au(t)+B(u(t)) = f(t), u(0) = u₀, u'(0) = u₁ in the Hilbert space H as ε → 0, where A is a linear, self-adjoint, strong positive operator B is nonlinear Lipschitzian operator.
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| first_indexed | 2025-11-24T16:10:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169157 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-11-24T16:10:05Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Perjan, A. 2020-06-06T18:09:06Z 2020-06-06T18:09:06Z 2005 Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity / A. Perjan // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 99-107. — Бібліогр.: 4 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169157 We study the behavior of solutions of the Cauchy problem εu"(t)+u'(t) + Au(t)+B(u(t)) = f(t), u(0) = u₀, u'(0) = u₁ in the Hilbert space H as ε → 0, where A is a linear, self-adjoint, strong positive operator B is nonlinear Lipschitzian operator. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity Article published earlier |
| spellingShingle | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity Perjan, A. |
| title | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| title_full | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| title_fullStr | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| title_full_unstemmed | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| title_short | Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| title_sort | singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169157 |
| work_keys_str_mv | AT perjana singularlyperturbedproblemsofhyperbolicparabolictypewithlipschitziannonlinearity |