SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEMFOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONSIN HILBERT SPACES
Date
2009
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
We study the behavior of solutions to the problem(ε“u′′ε(t) +A1uε(t)”+u′ε(t) +A0uε(t) =f(t), t >0,uε(0) =u0, u′ε(0) =u1,in the Hilbert spaceHasε→0, whereA1andA0are two linear selfadjoint operators.
Description
Keywords
singular perturbations, cauchy problem, boundary function
Citation
RUSU, Galina. Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2009, nr. 3(61), pp. 81-95. ISSN 1024-7696.