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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| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169157 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169157 |
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dspace |
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irk-123456789-1691572020-06-07T01:26:25Z Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity Perjan, A. 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. 2005 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169157 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Perjan, A. |
| spellingShingle |
Perjan, A. Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity Нелинейные граничные задачи |
| author_facet |
Perjan, A. |
| author_sort |
Perjan, A. |
| title |
Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169157 |
| 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. |
| series |
Нелинейные граничные задачи |
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2023-10-18T22:24:33Z |
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