SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEM FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACES
Date
2009
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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 space
H asε→0, whereA1andA0are two linear selfadjoint operators.
Description
Keywords
Singular perturbations, Cauchy problem, boundary function
Citation
RUSU, G. Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces. In: Buletinul Academiei de Ştiinţe a Republicii Moldova : Matematica. 2009, nr. 3(61), pp. 81-95. ISSN 1024-76-96