Inertia of Operator Polynomials and Stability of Differential Equations
β Scribed by L. Lerer; L. Rodman
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this property is closely related to polynomial growth estimates of the resolvent of the generator. For systems of commuting normal operators
## Communicated by G. F. Roach The Lyapunov stability is analysed for a class of integro-differential equations with unbounded operator coefficients. These equations arise in the study of non-conservative stability problems for viscoelastic thin-walled elements of structures. Some sufficient stabi