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 SM ISO690:2012PERJAN, Andrei, RUSU, Galina. Convergence estimates for abstract second-order singularly perturbed Cauchy problems with Lipschitzian nonlinearities. In: Asymptotic Analysis, 2011, vol. 74, pp. 135-165. ISSN 0921-7134. DOI: https://doi.org/10.3233/ASY-2011-1043 |
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  Asymptotic Analysis |
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| Volumul 74 / 2011 / ISSN 0921-7134 /ISSNe 1875-8576 | ||||||
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| DOI:https://doi.org/10.3233/ASY-2011-1043 | ||||||
| Pag. 135-165 | ||||||
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We study the behavior of solutions to the problem ε(u″ ε(t)+A1uε(t))+u′ ε(t)+A0uε(t)+B(uε(t)) =fε(t), t∈(0,T], uε(0)=u0ε, u′ε(0)=u1ε, in the Hilbert space H as ε→0, where A1, A0 are two linear self-adjoint operators and B is a Lipschitzian operator. © 2011 - IOS Press and the authors. All rights reserved. |
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| Cuvinte-cheie a priori estimate, abstract second-order Cauchy problem, boundary layer function, singular perturbation |
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