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Title:Stability conditions for abstract functional differential equations in Hilbert space
Authors:ID Mastinšek, Miklavž (Author)
Files:URL 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 New window
UDC:330.4
ISSN on article:0037-1912
COBISS.SI-ID:6521884 New window
NUK URN:URN:SI:UM:DK:5RA9PO0X
Publication date in DKUM:02.06.2012
Views:1509
Downloads:116
Metadata:XML DC-XML DC-RDF
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 New window

Secondary language

Language:English
Keywords:enačbe, diferencialne enačbe, diferencialni račun


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