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Title:
Stability conditions for abstract functional differential equations in Hilbert space
Authors:
ID
Mastinšek, Miklavž
(
Author
)
Files:
http://link.springer.de/link/service/journals/00233/contents/00/10122
Language:
English
Work type:
Unknown
Typology:
1.01 - Original Scientific Article
Organization:
EPF - Faculty of Business and Economics
Abstract:
Stability conditions for functional differential equations of the form: du (t)/dt = Au(t) + bAu(t-h) + (a*Au)(t) are studied, where A is the infinitesimal generator of an analytic semigroup in a Hilbert space, b # 0 and the convolution term contains a square integrable real function a # 0. Norm discontinuity of the solution semigroup of the equation with discrete delay is avoided by studying the inverse of the characteristic operator. Sufficient and necessary conditions for the uniform exponential stability of the solution semigroup are obtained. The results are applied to a retarded partial integrodifferential equation.
Year of publishing:
2003
PID:
20.500.12556/DKUM-29139
UDC:
330.4
ISSN on article:
0037-1912
COBISS.SI-ID:
6521884
NUK URN:
URN:SI:UM:DK:5RA9PO0X
Publication date in DKUM:
02.06.2012
Views:
1509
Downloads:
116
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Semigroup forum
Publisher:
Springer
ISSN:
0037-1912
COBISS.SI-ID:
26378752
Secondary language
Language:
English
Keywords:
enačbe
,
diferencialne enačbe
,
diferencialni račun
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