Stability conditions for abstract functional differential equations in Hilbert space

Povzetek

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 ǂ 0 and the convolution term contains a square integrable real function a ǂ 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.

Ključne besede

enačbe;diferencialne enačbe;diferencialni račun;

Podatki

Jezik:	Angleški jezik
Leto izida:	2003
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM EPF - Ekonomsko-poslovna fakulteta
UDK:	330.4
COBISS:	6521884
ISSN:	0037-1912
Št. ogledov:	864
Št. prenosov:	95
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	enačbe;diferencialne enačbe;diferencialni račun;
URN:	URN:SI:UM:
Strani:	str. 140-150
Zvezek:	ǂVol. ǂ66
Čas izdaje:	2003
ID:	8719974