Convergence estimates for abstract second-order singularly perturbed Cauchy problems with Lipschitzian nonlinearities
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PERJAN, 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
Volumul 74 / 2011 / ISSN 0921-7134 /ISSNe 1875-8576

Convergence estimates for abstract second-order singularly perturbed Cauchy problems with Lipschitzian nonlinearities

DOI:https://doi.org/10.3233/ASY-2011-1043

Pag. 135-165

Perjan Andrei, Rusu Galina
 
Moldova State University
 
 
Disponibil în IBN: 5 martie 2024


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)=u, u′ε(0)=u, 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

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