Convergence estimate for second order Cauchy problems with a small parameter

@article{Najman1998,
abstract = {We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter $\varepsilon .$ The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.},
author = {Najman, Branko},
journal = {Czechoslovak Mathematical Journal},
keywords = {Cauchy problem in Hilbert space; estimates of solutions},
language = {eng},
number = {4},
pages = {737-745},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convergence estimate for second order Cauchy problems with a small parameter},
url = {http://eudml.org/doc/30451},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Najman, Branko
TI - Convergence estimate for second order Cauchy problems with a small parameter
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 4
SP - 737
EP - 745
AB - We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter $\varepsilon .$ The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.
LA - eng
KW - Cauchy problem in Hilbert space; estimates of solutions
UR - http://eudml.org/doc/30451
ER -