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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| Veröffentlicht in: | Нелинейные граничные задачи |
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| Datum: | 2005 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169157 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| id |
nasplib_isofts_kiev_ua-123456789-169157 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| spellingShingle |
Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity Perjan, A. |
| title_short |
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_sort |
singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| author |
Perjan, A. |
| author_facet |
Perjan, A. |
| publishDate |
2005 |
| language |
English |
| container_title |
Нелинейные граничные задачи |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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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| issn |
0236-0497 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169157 |
| fulltext |
|
| 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. |
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AT perjana singularlyperturbedproblemsofhyperbolicparabolictypewithlipschitziannonlinearity |
| first_indexed |
2025-11-24T16:10:05Z |
| last_indexed |
2025-11-24T16:10:05Z |
| _version_ |
1850851039997067264 |