| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 101 0 |
 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 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
  Asymptotic Analysis |
||||||
| Volumul 74 / 2011 / ISSN 0921-7134 /ISSNe 1875-8576 | ||||||
|
||||||
| DOI:https://doi.org/10.3233/ASY-2011-1043 | ||||||
| Pag. 135-165 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
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. |
||||||
| Cuvinte-cheie a priori estimate, abstract second-order Cauchy problem, boundary layer function, singular perturbation |
||||||
|
Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Perjan, A.</dc:creator> <dc:creator>Rusu, G.I.</dc:creator> <dc:date>2011-08-01</dc:date> <dc:description xml:lang='en'><p>We study the behavior of solutions to the problem ε(u″ <sub>ε</sub>(t)+A<sub>1</sub>u<sub>ε</sub>(t))+u′ <sub>ε</sub>(t)+A<sub>0</sub>u<sub>ε</sub>(t)+B(u<sub>ε</sub>(t)) =f<sub>ε</sub>(t), t∈(0,T], u<sub>ε</sub>(0)=u<sub>0ε</sub>, u′<sub>ε</sub>(0)=u<sub>1ε</sub>, in the Hilbert space H as ε→0, where A<sub>1</sub>, A<sub>0</sub> are two linear self-adjoint operators and B is a Lipschitzian operator. © 2011 - IOS Press and the authors. All rights reserved.</p></dc:description> <dc:identifier>10.3233/ASY-2011-1043</dc:identifier> <dc:source>Asymptotic Analysis () 135-165</dc:source> <dc:subject>a priori estimate</dc:subject> <dc:subject>abstract second-order Cauchy problem</dc:subject> <dc:subject>boundary layer function</dc:subject> <dc:subject>singular perturbation</dc:subject> <dc:title>Convergence estimates for abstract second-order singularly perturbed Cauchy problems with Lipschitzian nonlinearities</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
|
|
|
