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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| Date: | 2005 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Series: | Нелинейные граничные задачи |
| Online Access: | http://dspace.nbuv.gov.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. |