Convergence estimate for second order Cauchy problems with a small parameter
Czechoslovak Mathematical Journal (1998)
- Volume: 48, Issue: 4, page 737-745
- ISSN: 0011-4642
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topNajman, Branko. "Convergence estimate for second order Cauchy problems with a small parameter." Czechoslovak Mathematical Journal 48.4 (1998): 737-745. <http://eudml.org/doc/30451>.
@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 -
References
top- 10.2140/pjm.1992.152.79, Pac. J. Math. 152 (1992), 79–91. (1992) Zbl0743.34063MR1139973DOI10.2140/pjm.1992.152.79
- Second Order Linear Differential Equations in Banach Spaces, North Holland, 1985. (1985) Zbl0564.34063MR0797071
- 10.1006/jmaa.1993.1104, J. Math. Anal. Appl. 174 (1991), 95–117. (1991) MR1212920DOI10.1006/jmaa.1993.1104
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